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Finding the Fourth Proportional to 22,346.81, 30,838.17 and 12,275.02

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Solution

The fourth proportional to 22,346.81, 30,838.17 and 12,275.02 is: 16,939.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,346.81 : 30,838.17 = 12,275.02 : x
  2. Step 2: Convert to fraction form
    22,346.81/30,838.17 = 12,275.02/x
  3. Step 3: Cross multiply
    22,346.81x = 30,838.17 × 12,275.02
  4. Step 4: Simplify right side
    22,346.81x = 378,539,082.31
  5. Step 5: Solve for x
    x = 378,539,082.31/22,346.81
  6. Step 6: Final answer
    x = 16,939.29

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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.