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Finding the Fourth Proportional to 13,665.48, 20,498.95 and 4,306.23

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Solution

The fourth proportional to 13,665.48, 20,498.95 and 4,306.23 is: 6,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.48 : 20,498.95 = 4,306.23 : x
  2. Step 2: Convert to fraction form
    13,665.48/20,498.95 = 4,306.23/x
  3. Step 3: Cross multiply
    13,665.48x = 20,498.95 × 4,306.23
  4. Step 4: Simplify right side
    13,665.48x = 88,273,193.46
  5. Step 5: Solve for x
    x = 88,273,193.46/13,665.48
  6. Step 6: Final answer
    x = 6,459.58

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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.