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Finding the Fourth Proportional to 15,864.20, 23,807.06 and 8,473.96

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Solution

The fourth proportional to 15,864.20, 23,807.06 and 8,473.96 is: 12,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,864.20 : 23,807.06 = 8,473.96 : x
  2. Step 2: Convert to fraction form
    15,864.20/23,807.06 = 8,473.96/x
  3. Step 3: Cross multiply
    15,864.20x = 23,807.06 × 8,473.96
  4. Step 4: Simplify right side
    15,864.20x = 201,740,074.16
  5. Step 5: Solve for x
    x = 201,740,074.16/15,864.20
  6. Step 6: Final answer
    x = 12,716.69

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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.