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Finding the Fourth Proportional to 14,985.20, 22,477.80 and 5,124.80

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Solution

The fourth proportional to 14,985.20, 22,477.80 and 5,124.80 is: 7,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,985.20 : 22,477.80 = 5,124.80 : x
  2. Step 2: Convert to fraction form
    14,985.20/22,477.80 = 5,124.80/x
  3. Step 3: Cross multiply
    14,985.20x = 22,477.80 × 5,124.80
  4. Step 4: Simplify right side
    14,985.20x = 115,194,229.44
  5. Step 5: Solve for x
    x = 115,194,229.44/14,985.20
  6. Step 6: Final answer
    x = 7,687.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.