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Finding the Fourth Proportional to 22,887, 31,585.95 and 12,817.76

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Solution

The fourth proportional to 22,887, 31,585.95 and 12,817.76 is: 17,689.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,887 : 31,585.95 = 12,817.76 : x
  2. Step 2: Convert to fraction form
    22,887/31,585.95 = 12,817.76/x
  3. Step 3: Cross multiply
    22,887x = 31,585.95 × 12,817.76
  4. Step 4: Simplify right side
    22,887x = 404,860,968.54
  5. Step 5: Solve for x
    x = 404,860,968.54/22,887
  6. Step 6: Final answer
    x = 17,689.56

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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.