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Finding the Fourth Proportional to 15,354.80, 23,024.64 and 4,965.20

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Solution

The fourth proportional to 15,354.80, 23,024.64 and 4,965.20 is: 7,445.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,354.80 : 23,024.64 = 4,965.20 : x
  2. Step 2: Convert to fraction form
    15,354.80/23,024.64 = 4,965.20/x
  3. Step 3: Cross multiply
    15,354.80x = 23,024.64 × 4,965.20
  4. Step 4: Simplify right side
    15,354.80x = 114,321,942.53
  5. Step 5: Solve for x
    x = 114,321,942.53/15,354.80
  6. Step 6: Final answer
    x = 7,445.36

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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.