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Finding the Fourth Proportional to 24,428.59, 36,642.27 and 6,898.16

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Solution

The fourth proportional to 24,428.59, 36,642.27 and 6,898.16 is: 10,347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,428.59 : 36,642.27 = 6,898.16 : x
  2. Step 2: Convert to fraction form
    24,428.59/36,642.27 = 6,898.16/x
  3. Step 3: Cross multiply
    24,428.59x = 36,642.27 × 6,898.16
  4. Step 4: Simplify right side
    24,428.59x = 252,764,241.22
  5. Step 5: Solve for x
    x = 252,764,241.22/24,428.59
  6. Step 6: Final answer
    x = 10,347.07

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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.