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Finding the Fourth Proportional to 13,468.74, 20,206.38 and 4,584

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Solution

The fourth proportional to 13,468.74, 20,206.38 and 4,584 is: 6,877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.74 : 20,206.38 = 4,584 : x
  2. Step 2: Convert to fraction form
    13,468.74/20,206.38 = 4,584/x
  3. Step 3: Cross multiply
    13,468.74x = 20,206.38 × 4,584
  4. Step 4: Simplify right side
    13,468.74x = 92,626,045.92
  5. Step 5: Solve for x
    x = 92,626,045.92/13,468.74
  6. Step 6: Final answer
    x = 6,877.11

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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.