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Finding the Fourth Proportional to 15,808.98, 23,727.82 and 8,419.70

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Solution

The fourth proportional to 15,808.98, 23,727.82 and 8,419.70 is: 12,637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,808.98 : 23,727.82 = 8,419.70 : x
  2. Step 2: Convert to fraction form
    15,808.98/23,727.82 = 8,419.70/x
  3. Step 3: Cross multiply
    15,808.98x = 23,727.82 × 8,419.70
  4. Step 4: Simplify right side
    15,808.98x = 199,781,126.05
  5. Step 5: Solve for x
    x = 199,781,126.05/15,808.98
  6. Step 6: Final answer
    x = 12,637.19

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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.