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Finding the Fourth Proportional to 22,960.98, 31,686.62 and 12,890.16

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Solution

The fourth proportional to 22,960.98, 31,686.62 and 12,890.16 is: 17,788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,960.98 : 31,686.62 = 12,890.16 : x
  2. Step 2: Convert to fraction form
    22,960.98/31,686.62 = 12,890.16/x
  3. Step 3: Cross multiply
    22,960.98x = 31,686.62 × 12,890.16
  4. Step 4: Simplify right side
    22,960.98x = 408,445,537.21
  5. Step 5: Solve for x
    x = 408,445,537.21/22,960.98
  6. Step 6: Final answer
    x = 17,788.68

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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.