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Finding the Fourth Proportional to 17,430.78, 24,053.82 and 9,472.84

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Solution

The fourth proportional to 17,430.78, 24,053.82 and 9,472.84 is: 13,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,430.78 : 24,053.82 = 9,472.84 : x
  2. Step 2: Convert to fraction form
    17,430.78/24,053.82 = 9,472.84/x
  3. Step 3: Cross multiply
    17,430.78x = 24,053.82 × 9,472.84
  4. Step 4: Simplify right side
    17,430.78x = 227,857,988.25
  5. Step 5: Solve for x
    x = 227,857,988.25/17,430.78
  6. Step 6: Final answer
    x = 13,072.16

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