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Finding the Fourth Proportional to 22,847.67, 31,527.01 and 12,637.32

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Solution

The fourth proportional to 22,847.67, 31,527.01 and 12,637.32 is: 17,437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,847.67 : 31,527.01 = 12,637.32 : x
  2. Step 2: Convert to fraction form
    22,847.67/31,527.01 = 12,637.32/x
  3. Step 3: Cross multiply
    22,847.67x = 31,527.01 × 12,637.32
  4. Step 4: Simplify right side
    22,847.67x = 398,416,914.01
  5. Step 5: Solve for x
    x = 398,416,914.01/22,847.67
  6. Step 6: Final answer
    x = 17,437.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.