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Finding the Fourth Proportional to 41,002.16, 61,505.40 and 13,298

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Solution

The fourth proportional to 41,002.16, 61,505.40 and 13,298 is: 19,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,002.16 : 61,505.40 = 13,298 : x
  2. Step 2: Convert to fraction form
    41,002.16/61,505.40 = 13,298/x
  3. Step 3: Cross multiply
    41,002.16x = 61,505.40 × 13,298
  4. Step 4: Simplify right side
    41,002.16x = 817,898,809.20
  5. Step 5: Solve for x
    x = 817,898,809.20/41,002.16
  6. Step 6: Final answer
    x = 19,947.70

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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.