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Finding the Fourth Proportional to 22,847.76, 31,501.17 and 17,476.74

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Solution

The fourth proportional to 22,847.76, 31,501.17 and 17,476.74 is: 24,095.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,847.76 : 31,501.17 = 17,476.74 : x
  2. Step 2: Convert to fraction form
    22,847.76/31,501.17 = 17,476.74/x
  3. Step 3: Cross multiply
    22,847.76x = 31,501.17 × 17,476.74
  4. Step 4: Simplify right side
    22,847.76x = 550,537,757.79
  5. Step 5: Solve for x
    x = 550,537,757.79/22,847.76
  6. Step 6: Final answer
    x = 24,095.92

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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.