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Finding the Fourth Proportional to 19,838.64, 29,700.16 and 10,456.32

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Solution

The fourth proportional to 19,838.64, 29,700.16 and 10,456.32 is: 15,654.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.64 : 29,700.16 = 10,456.32 : x
  2. Step 2: Convert to fraction form
    19,838.64/29,700.16 = 10,456.32/x
  3. Step 3: Cross multiply
    19,838.64x = 29,700.16 × 10,456.32
  4. Step 4: Simplify right side
    19,838.64x = 310,554,377.01
  5. Step 5: Solve for x
    x = 310,554,377.01/19,838.64
  6. Step 6: Final answer
    x = 15,654.02

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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.