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Finding the Fourth Proportional to 24,512.80, 36,751.20 and 9,714.40

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Solution

The fourth proportional to 24,512.80, 36,751.20 and 9,714.40 is: 14,564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,512.80 : 36,751.20 = 9,714.40 : x
  2. Step 2: Convert to fraction form
    24,512.80/36,751.20 = 9,714.40/x
  3. Step 3: Cross multiply
    24,512.80x = 36,751.20 × 9,714.40
  4. Step 4: Simplify right side
    24,512.80x = 357,015,857.28
  5. Step 5: Solve for x
    x = 357,015,857.28/24,512.80
  6. Step 6: Final answer
    x = 14,564.47

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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.