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Finding the Fourth Proportional to 13,013.64, 19,523.57 and 4,248.57

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Solution

The fourth proportional to 13,013.64, 19,523.57 and 4,248.57 is: 6,373.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.64 : 19,523.57 = 4,248.57 : x
  2. Step 2: Convert to fraction form
    13,013.64/19,523.57 = 4,248.57/x
  3. Step 3: Cross multiply
    13,013.64x = 19,523.57 × 4,248.57
  4. Step 4: Simplify right side
    13,013.64x = 82,947,253.79
  5. Step 5: Solve for x
    x = 82,947,253.79/13,013.64
  6. Step 6: Final answer
    x = 6,373.87

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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.