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Finding the Fourth Proportional to 22,777.96, 31,433.65 and 12,707.06

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Solution

The fourth proportional to 22,777.96, 31,433.65 and 12,707.06 is: 17,535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,777.96 : 31,433.65 = 12,707.06 : x
  2. Step 2: Convert to fraction form
    22,777.96/31,433.65 = 12,707.06/x
  3. Step 3: Cross multiply
    22,777.96x = 31,433.65 × 12,707.06
  4. Step 4: Simplify right side
    22,777.96x = 399,429,276.57
  5. Step 5: Solve for x
    x = 399,429,276.57/22,777.96
  6. Step 6: Final answer
    x = 17,535.78

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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.