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Finding the Fourth Proportional to 19,666.44, 29,516.58 and 10,312.97

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Solution

The fourth proportional to 19,666.44, 29,516.58 and 10,312.97 is: 15,478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.44 : 29,516.58 = 10,312.97 : x
  2. Step 2: Convert to fraction form
    19,666.44/29,516.58 = 10,312.97/x
  3. Step 3: Cross multiply
    19,666.44x = 29,516.58 × 10,312.97
  4. Step 4: Simplify right side
    19,666.44x = 304,403,456.46
  5. Step 5: Solve for x
    x = 304,403,456.46/19,666.44
  6. Step 6: Final answer
    x = 15,478.32

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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.