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Finding the Fourth Proportional to 25,532.32, 38,294.16 and 7,060

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Solution

The fourth proportional to 25,532.32, 38,294.16 and 7,060 is: 10,588.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,532.32 : 38,294.16 = 7,060 : x
  2. Step 2: Convert to fraction form
    25,532.32/38,294.16 = 7,060/x
  3. Step 3: Cross multiply
    25,532.32x = 38,294.16 × 7,060
  4. Step 4: Simplify right side
    25,532.32x = 270,356,769.60
  5. Step 5: Solve for x
    x = 270,356,769.60/25,532.32
  6. Step 6: Final answer
    x = 10,588.81

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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.