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Finding the Fourth Proportional to 24,318.14, 33,557.02 and 13,710.38

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Solution

The fourth proportional to 24,318.14, 33,557.02 and 13,710.38 is: 18,919.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,318.14 : 33,557.02 = 13,710.38 : x
  2. Step 2: Convert to fraction form
    24,318.14/33,557.02 = 13,710.38/x
  3. Step 3: Cross multiply
    24,318.14x = 33,557.02 × 13,710.38
  4. Step 4: Simplify right side
    24,318.14x = 460,079,293.81
  5. Step 5: Solve for x
    x = 460,079,293.81/24,318.14
  6. Step 6: Final answer
    x = 18,919.18

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Why These Related Problems?

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