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Finding the Fourth Proportional to 17,165.84, 23,688.52 and 9,508.91

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Solution

The fourth proportional to 17,165.84, 23,688.52 and 9,508.91 is: 13,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,165.84 : 23,688.52 = 9,508.91 : x
  2. Step 2: Convert to fraction form
    17,165.84/23,688.52 = 9,508.91/x
  3. Step 3: Cross multiply
    17,165.84x = 23,688.52 × 9,508.91
  4. Step 4: Simplify right side
    17,165.84x = 225,251,862.50
  5. Step 5: Solve for x
    x = 225,251,862.50/17,165.84
  6. Step 6: Final answer
    x = 13,122.10

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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.