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Finding the Fourth Proportional to 13,614.64, 20,398.92 and 6,598.08

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Solution

The fourth proportional to 13,614.64, 20,398.92 and 6,598.08 is: 9,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.64 : 20,398.92 = 6,598.08 : x
  2. Step 2: Convert to fraction form
    13,614.64/20,398.92 = 6,598.08/x
  3. Step 3: Cross multiply
    13,614.64x = 20,398.92 × 6,598.08
  4. Step 4: Simplify right side
    13,614.64x = 134,593,706.07
  5. Step 5: Solve for x
    x = 134,593,706.07/13,614.64
  6. Step 6: Final answer
    x = 9,885.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.