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Finding the Fourth Proportional to 25,903.59, 35,746.14 and 14,573.70

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Solution

The fourth proportional to 25,903.59, 35,746.14 and 14,573.70 is: 20,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,903.59 : 35,746.14 = 14,573.70 : x
  2. Step 2: Convert to fraction form
    25,903.59/35,746.14 = 14,573.70/x
  3. Step 3: Cross multiply
    25,903.59x = 35,746.14 × 14,573.70
  4. Step 4: Simplify right side
    25,903.59x = 520,953,520.52
  5. Step 5: Solve for x
    x = 520,953,520.52/25,903.59
  6. Step 6: Final answer
    x = 20,111.25

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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.