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Finding the Fourth Proportional to 18,461.32, 27,710.76 and 13,516.24

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Solution

The fourth proportional to 18,461.32, 27,710.76 and 13,516.24 is: 20,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,461.32 : 27,710.76 = 13,516.24 : x
  2. Step 2: Convert to fraction form
    18,461.32/27,710.76 = 13,516.24/x
  3. Step 3: Cross multiply
    18,461.32x = 27,710.76 × 13,516.24
  4. Step 4: Simplify right side
    18,461.32x = 374,545,282.74
  5. Step 5: Solve for x
    x = 374,545,282.74/18,461.32
  6. Step 6: Final answer
    x = 20,288.11

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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.