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Finding the Fourth Proportional to 17,470.78, 24,108.93 and 9,513

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Solution

The fourth proportional to 17,470.78, 24,108.93 and 9,513 is: 13,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,470.78 : 24,108.93 = 9,513 : x
  2. Step 2: Convert to fraction form
    17,470.78/24,108.93 = 9,513/x
  3. Step 3: Cross multiply
    17,470.78x = 24,108.93 × 9,513
  4. Step 4: Simplify right side
    17,470.78x = 229,348,251.09
  5. Step 5: Solve for x
    x = 229,348,251.09/17,470.78
  6. Step 6: Final answer
    x = 13,127.54

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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.