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Finding the Fourth Proportional to 17,875.71, 24,668.48 and 9,917.93

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Solution

The fourth proportional to 17,875.71, 24,668.48 and 9,917.93 is: 13,686.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,875.71 : 24,668.48 = 9,917.93 : x
  2. Step 2: Convert to fraction form
    17,875.71/24,668.48 = 9,917.93/x
  3. Step 3: Cross multiply
    17,875.71x = 24,668.48 × 9,917.93
  4. Step 4: Simplify right side
    17,875.71x = 244,660,344.31
  5. Step 5: Solve for x
    x = 244,660,344.31/17,875.71
  6. Step 6: Final answer
    x = 13,686.75

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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.