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Finding the Fourth Proportional to 25,846.70, 35,669.06 and 14,516.21

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Solution

The fourth proportional to 25,846.70, 35,669.06 and 14,516.21 is: 20,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,846.70 : 35,669.06 = 14,516.21 : x
  2. Step 2: Convert to fraction form
    25,846.70/35,669.06 = 14,516.21/x
  3. Step 3: Cross multiply
    25,846.70x = 35,669.06 × 14,516.21
  4. Step 4: Simplify right side
    25,846.70x = 517,779,636.49
  5. Step 5: Solve for x
    x = 517,779,636.49/25,846.70
  6. Step 6: Final answer
    x = 20,032.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.