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Finding the Fourth Proportional to 24,714.48, 37,065.24 and 7,179.60

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Solution

The fourth proportional to 24,714.48, 37,065.24 and 7,179.60 is: 10,767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714.48 : 37,065.24 = 7,179.60 : x
  2. Step 2: Convert to fraction form
    24,714.48/37,065.24 = 7,179.60/x
  3. Step 3: Cross multiply
    24,714.48x = 37,065.24 × 7,179.60
  4. Step 4: Simplify right side
    24,714.48x = 266,113,597.10
  5. Step 5: Solve for x
    x = 266,113,597.10/24,714.48
  6. Step 6: Final answer
    x = 10,767.52

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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.