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Finding the Fourth Proportional to 25,074.92, 37,618.86 and 13,385

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Solution

The fourth proportional to 25,074.92, 37,618.86 and 13,385 is: 20,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,074.92 : 37,618.86 = 13,385 : x
  2. Step 2: Convert to fraction form
    25,074.92/37,618.86 = 13,385/x
  3. Step 3: Cross multiply
    25,074.92x = 37,618.86 × 13,385
  4. Step 4: Simplify right side
    25,074.92x = 503,528,441.10
  5. Step 5: Solve for x
    x = 503,528,441.10/25,074.92
  6. Step 6: Final answer
    x = 20,080.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.