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Finding the Fourth Proportional to 22,300.71, 30,775.86 and 12,742.17

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Solution

The fourth proportional to 22,300.71, 30,775.86 and 12,742.17 is: 17,584.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,300.71 : 30,775.86 = 12,742.17 : x
  2. Step 2: Convert to fraction form
    22,300.71/30,775.86 = 12,742.17/x
  3. Step 3: Cross multiply
    22,300.71x = 30,775.86 × 12,742.17
  4. Step 4: Simplify right side
    22,300.71x = 392,151,240.02
  5. Step 5: Solve for x
    x = 392,151,240.02/22,300.71
  6. Step 6: Final answer
    x = 17,584.70

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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.