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Finding the Fourth Proportional to 22,989.93, 31,724.14 and 12,917.58

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Solution

The fourth proportional to 22,989.93, 31,724.14 and 12,917.58 is: 17,825.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,989.93 : 31,724.14 = 12,917.58 : x
  2. Step 2: Convert to fraction form
    22,989.93/31,724.14 = 12,917.58/x
  3. Step 3: Cross multiply
    22,989.93x = 31,724.14 × 12,917.58
  4. Step 4: Simplify right side
    22,989.93x = 409,799,116.38
  5. Step 5: Solve for x
    x = 409,799,116.38/22,989.93
  6. Step 6: Final answer
    x = 17,825.16

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Why These Related Problems?

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