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Finding the Fourth Proportional to 16,542.16, 22,828.20 and 8,988.50

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Solution

The fourth proportional to 16,542.16, 22,828.20 and 8,988.50 is: 12,404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.16 : 22,828.20 = 8,988.50 : x
  2. Step 2: Convert to fraction form
    16,542.16/22,828.20 = 8,988.50/x
  3. Step 3: Cross multiply
    16,542.16x = 22,828.20 × 8,988.50
  4. Step 4: Simplify right side
    16,542.16x = 205,191,299.06
  5. Step 5: Solve for x
    x = 205,191,299.06/16,542.16
  6. Step 6: Final answer
    x = 12,404.14

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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.