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Finding the Fourth Proportional to 13,753.49, 18,979.80 and 7,465.87

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Solution

The fourth proportional to 13,753.49, 18,979.80 and 7,465.87 is: 10,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.49 : 18,979.80 = 7,465.87 : x
  2. Step 2: Convert to fraction form
    13,753.49/18,979.80 = 7,465.87/x
  3. Step 3: Cross multiply
    13,753.49x = 18,979.80 × 7,465.87
  4. Step 4: Simplify right side
    13,753.49x = 141,700,624.53
  5. Step 5: Solve for x
    x = 141,700,624.53/13,753.49
  6. Step 6: Final answer
    x = 10,302.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.