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Finding the Fourth Proportional to 17,430.91, 24,053.98 and 9,472.96

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Solution

The fourth proportional to 17,430.91, 24,053.98 and 9,472.96 is: 13,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,430.91 : 24,053.98 = 9,472.96 : x
  2. Step 2: Convert to fraction form
    17,430.91/24,053.98 = 9,472.96/x
  3. Step 3: Cross multiply
    17,430.91x = 24,053.98 × 9,472.96
  4. Step 4: Simplify right side
    17,430.91x = 227,862,390.38
  5. Step 5: Solve for x
    x = 227,862,390.38/17,430.91
  6. Step 6: Final answer
    x = 13,072.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.