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Finding the Fourth Proportional to 22,543.97, 31,113 and 12,984.18

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Solution

The fourth proportional to 22,543.97, 31,113 and 12,984.18 is: 17,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,543.97 : 31,113 = 12,984.18 : x
  2. Step 2: Convert to fraction form
    22,543.97/31,113 = 12,984.18/x
  3. Step 3: Cross multiply
    22,543.97x = 31,113 × 12,984.18
  4. Step 4: Simplify right side
    22,543.97x = 403,976,792.34
  5. Step 5: Solve for x
    x = 403,976,792.34/22,543.97
  6. Step 6: Final answer
    x = 17,919.51

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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.