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Finding the Fourth Proportional to 24,864.64, 37,298.88 and 7,096.56

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Solution

The fourth proportional to 24,864.64, 37,298.88 and 7,096.56 is: 10,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,864.64 : 37,298.88 = 7,096.56 : x
  2. Step 2: Convert to fraction form
    24,864.64/37,298.88 = 7,096.56/x
  3. Step 3: Cross multiply
    24,864.64x = 37,298.88 × 7,096.56
  4. Step 4: Simplify right side
    24,864.64x = 264,693,739.85
  5. Step 5: Solve for x
    x = 264,693,739.85/24,864.64
  6. Step 6: Final answer
    x = 10,645.39

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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.