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Finding the Fourth Proportional to 22,265.40, 30,718.80 and 12,833.76

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Solution

The fourth proportional to 22,265.40, 30,718.80 and 12,833.76 is: 17,706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,265.40 : 30,718.80 = 12,833.76 : x
  2. Step 2: Convert to fraction form
    22,265.40/30,718.80 = 12,833.76/x
  3. Step 3: Cross multiply
    22,265.40x = 30,718.80 × 12,833.76
  4. Step 4: Simplify right side
    22,265.40x = 394,237,706.69
  5. Step 5: Solve for x
    x = 394,237,706.69/22,265.40
  6. Step 6: Final answer
    x = 17,706.29

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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.