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Finding the Fourth Proportional to 17,430.78, 24,054.42 and 9,472.98

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Solution

The fourth proportional to 17,430.78, 24,054.42 and 9,472.98 is: 13,072.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,430.78 : 24,054.42 = 9,472.98 : x
  2. Step 2: Convert to fraction form
    17,430.78/24,054.42 = 9,472.98/x
  3. Step 3: Cross multiply
    17,430.78x = 24,054.42 × 9,472.98
  4. Step 4: Simplify right side
    17,430.78x = 227,867,039.57
  5. Step 5: Solve for x
    x = 227,867,039.57/17,430.78
  6. Step 6: Final answer
    x = 13,072.68

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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.