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Finding the Fourth Proportional to 14,962.40, 22,432.80 and 9,771.20

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Solution

The fourth proportional to 14,962.40, 22,432.80 and 9,771.20 is: 14,649.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,962.40 : 22,432.80 = 9,771.20 : x
  2. Step 2: Convert to fraction form
    14,962.40/22,432.80 = 9,771.20/x
  3. Step 3: Cross multiply
    14,962.40x = 22,432.80 × 9,771.20
  4. Step 4: Simplify right side
    14,962.40x = 219,195,375.36
  5. Step 5: Solve for x
    x = 219,195,375.36/14,962.40
  6. Step 6: Final answer
    x = 14,649.75

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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.