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Finding the Fourth Proportional to 17,637.30, 24,340.36 and 9,679.46

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Solution

The fourth proportional to 17,637.30, 24,340.36 and 9,679.46 is: 13,358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,637.30 : 24,340.36 = 9,679.46 : x
  2. Step 2: Convert to fraction form
    17,637.30/24,340.36 = 9,679.46/x
  3. Step 3: Cross multiply
    17,637.30x = 24,340.36 × 9,679.46
  4. Step 4: Simplify right side
    17,637.30x = 235,601,541.01
  5. Step 5: Solve for x
    x = 235,601,541.01/17,637.30
  6. Step 6: Final answer
    x = 13,358.14

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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.