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Finding the Fourth Proportional to 16,228.74, 24,342.96 and 5,135.40

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Solution

The fourth proportional to 16,228.74, 24,342.96 and 5,135.40 is: 7,703.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228.74 : 24,342.96 = 5,135.40 : x
  2. Step 2: Convert to fraction form
    16,228.74/24,342.96 = 5,135.40/x
  3. Step 3: Cross multiply
    16,228.74x = 24,342.96 × 5,135.40
  4. Step 4: Simplify right side
    16,228.74x = 125,010,836.78
  5. Step 5: Solve for x
    x = 125,010,836.78/16,228.74
  6. Step 6: Final answer
    x = 7,703.05

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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.