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Finding the Fourth Proportional to 14,964.80, 22,441.92 and 4,432

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Solution

The fourth proportional to 14,964.80, 22,441.92 and 4,432 is: 6,646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,964.80 : 22,441.92 = 4,432 : x
  2. Step 2: Convert to fraction form
    14,964.80/22,441.92 = 4,432/x
  3. Step 3: Cross multiply
    14,964.80x = 22,441.92 × 4,432
  4. Step 4: Simplify right side
    14,964.80x = 99,462,589.44
  5. Step 5: Solve for x
    x = 99,462,589.44/14,964.80
  6. Step 6: Final answer
    x = 6,646.44

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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.