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Finding the Fourth Proportional to 17,471, 24,109.62 and 9,513.36

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Solution

The fourth proportional to 17,471, 24,109.62 and 9,513.36 is: 13,128.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471 : 24,109.62 = 9,513.36 : x
  2. Step 2: Convert to fraction form
    17,471/24,109.62 = 9,513.36/x
  3. Step 3: Cross multiply
    17,471x = 24,109.62 × 9,513.36
  4. Step 4: Simplify right side
    17,471x = 229,363,494.52
  5. Step 5: Solve for x
    x = 229,363,494.52/17,471
  6. Step 6: Final answer
    x = 13,128.24

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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.