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Finding the Fourth Proportional to 14,680, 22,020.80 and 5,913.78

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Solution

The fourth proportional to 14,680, 22,020.80 and 5,913.78 is: 8,870.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,680 : 22,020.80 = 5,913.78 : x
  2. Step 2: Convert to fraction form
    14,680/22,020.80 = 5,913.78/x
  3. Step 3: Cross multiply
    14,680x = 22,020.80 × 5,913.78
  4. Step 4: Simplify right side
    14,680x = 130,226,166.62
  5. Step 5: Solve for x
    x = 130,226,166.62/14,680
  6. Step 6: Final answer
    x = 8,870.99

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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.