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Finding the Fourth Proportional to 22,642.83, 31,244.82 and 12,570.17

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Solution

The fourth proportional to 22,642.83, 31,244.82 and 12,570.17 is: 17,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.83 : 31,244.82 = 12,570.17 : x
  2. Step 2: Convert to fraction form
    22,642.83/31,244.82 = 12,570.17/x
  3. Step 3: Cross multiply
    22,642.83x = 31,244.82 × 12,570.17
  4. Step 4: Simplify right side
    22,642.83x = 392,752,847.42
  5. Step 5: Solve for x
    x = 392,752,847.42/22,642.83
  6. Step 6: Final answer
    x = 17,345.57

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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.