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Finding the Fourth Proportional to 22,870.96, 31,561.92 and 12,799.82

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Solution

The fourth proportional to 22,870.96, 31,561.92 and 12,799.82 is: 17,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,870.96 : 31,561.92 = 12,799.82 : x
  2. Step 2: Convert to fraction form
    22,870.96/31,561.92 = 12,799.82/x
  3. Step 3: Cross multiply
    22,870.96x = 31,561.92 × 12,799.82
  4. Step 4: Simplify right side
    22,870.96x = 403,986,973.76
  5. Step 5: Solve for x
    x = 403,986,973.76/22,870.96
  6. Step 6: Final answer
    x = 17,663.75

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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.