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Finding the Fourth Proportional to 17,470.93, 24,109.16 and 9,513.13

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Solution

The fourth proportional to 17,470.93, 24,109.16 and 9,513.13 is: 13,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,470.93 : 24,109.16 = 9,513.13 : x
  2. Step 2: Convert to fraction form
    17,470.93/24,109.16 = 9,513.13/x
  3. Step 3: Cross multiply
    17,470.93x = 24,109.16 × 9,513.13
  4. Step 4: Simplify right side
    17,470.93x = 229,353,573.27
  5. Step 5: Solve for x
    x = 229,353,573.27/17,470.93
  6. Step 6: Final answer
    x = 13,127.73

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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.