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Finding the Fourth Proportional to 24,765.78, 37,148.66 and 10,714.30

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Solution

The fourth proportional to 24,765.78, 37,148.66 and 10,714.30 is: 16,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,765.78 : 37,148.66 = 10,714.30 : x
  2. Step 2: Convert to fraction form
    24,765.78/37,148.66 = 10,714.30/x
  3. Step 3: Cross multiply
    24,765.78x = 37,148.66 × 10,714.30
  4. Step 4: Simplify right side
    24,765.78x = 398,021,887.84
  5. Step 5: Solve for x
    x = 398,021,887.84/24,765.78
  6. Step 6: Final answer
    x = 16,071.45

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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.