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Finding the Fourth Proportional to 25,709.30, 35,478.15 and 14,531.30

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Solution

The fourth proportional to 25,709.30, 35,478.15 and 14,531.30 is: 20,052.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,709.30 : 35,478.15 = 14,531.30 : x
  2. Step 2: Convert to fraction form
    25,709.30/35,478.15 = 14,531.30/x
  3. Step 3: Cross multiply
    25,709.30x = 35,478.15 × 14,531.30
  4. Step 4: Simplify right side
    25,709.30x = 515,543,641.10
  5. Step 5: Solve for x
    x = 515,543,641.10/25,709.30
  6. Step 6: Final answer
    x = 20,052.81

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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.