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Finding the Fourth Proportional to 16,246.68, 24,374.12 and 7,487.74

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Solution

The fourth proportional to 16,246.68, 24,374.12 and 7,487.74 is: 11,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,246.68 : 24,374.12 = 7,487.74 : x
  2. Step 2: Convert to fraction form
    16,246.68/24,374.12 = 7,487.74/x
  3. Step 3: Cross multiply
    16,246.68x = 24,374.12 × 7,487.74
  4. Step 4: Simplify right side
    16,246.68x = 182,507,066.32
  5. Step 5: Solve for x
    x = 182,507,066.32/16,246.68
  6. Step 6: Final answer
    x = 11,233.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.