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Finding the Fourth Proportional to 17,430.18, 24,053.58 and 9,472.38

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Solution

The fourth proportional to 17,430.18, 24,053.58 and 9,472.38 is: 13,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,430.18 : 24,053.58 = 9,472.38 : x
  2. Step 2: Convert to fraction form
    17,430.18/24,053.58 = 9,472.38/x
  3. Step 3: Cross multiply
    17,430.18x = 24,053.58 × 9,472.38
  4. Step 4: Simplify right side
    17,430.18x = 227,844,650.12
  5. Step 5: Solve for x
    x = 227,844,650.12/17,430.18
  6. Step 6: Final answer
    x = 13,071.85

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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.