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Finding the Fourth Proportional to 14,934.52, 22,405.02 and 4,546

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Solution

The fourth proportional to 14,934.52, 22,405.02 and 4,546 is: 6,819.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,934.52 : 22,405.02 = 4,546 : x
  2. Step 2: Convert to fraction form
    14,934.52/22,405.02 = 4,546/x
  3. Step 3: Cross multiply
    14,934.52x = 22,405.02 × 4,546
  4. Step 4: Simplify right side
    14,934.52x = 101,853,220.92
  5. Step 5: Solve for x
    x = 101,853,220.92/14,934.52
  6. Step 6: Final answer
    x = 6,819.99

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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.