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Finding the Fourth Proportional to 13,506.32, 20,251.98 and 5,606.66

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Solution

The fourth proportional to 13,506.32, 20,251.98 and 5,606.66 is: 8,406.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.32 : 20,251.98 = 5,606.66 : x
  2. Step 2: Convert to fraction form
    13,506.32/20,251.98 = 5,606.66/x
  3. Step 3: Cross multiply
    13,506.32x = 20,251.98 × 5,606.66
  4. Step 4: Simplify right side
    13,506.32x = 113,545,966.19
  5. Step 5: Solve for x
    x = 113,545,966.19/13,506.32
  6. Step 6: Final answer
    x = 8,406.88

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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.