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Finding the Fourth Proportional to 24,006.54, 33,134.95 and 14,583

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Solution

The fourth proportional to 24,006.54, 33,134.95 and 14,583 is: 20,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,006.54 : 33,134.95 = 14,583 : x
  2. Step 2: Convert to fraction form
    24,006.54/33,134.95 = 14,583/x
  3. Step 3: Cross multiply
    24,006.54x = 33,134.95 × 14,583
  4. Step 4: Simplify right side
    24,006.54x = 483,206,975.85
  5. Step 5: Solve for x
    x = 483,206,975.85/24,006.54
  6. Step 6: Final answer
    x = 20,128.14

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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.