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Finding the Fourth Proportional to 13,687.54, 20,536.88 and 4,923.13

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Solution

The fourth proportional to 13,687.54, 20,536.88 and 4,923.13 is: 7,386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.54 : 20,536.88 = 4,923.13 : x
  2. Step 2: Convert to fraction form
    13,687.54/20,536.88 = 4,923.13/x
  3. Step 3: Cross multiply
    13,687.54x = 20,536.88 × 4,923.13
  4. Step 4: Simplify right side
    13,687.54x = 101,105,730.03
  5. Step 5: Solve for x
    x = 101,105,730.03/13,687.54
  6. Step 6: Final answer
    x = 7,386.70

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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.