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Finding the Fourth Proportional to 22,340.54, 30,829.75 and 12,269.14

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Solution

The fourth proportional to 22,340.54, 30,829.75 and 12,269.14 is: 16,931.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,340.54 : 30,829.75 = 12,269.14 : x
  2. Step 2: Convert to fraction form
    22,340.54/30,829.75 = 12,269.14/x
  3. Step 3: Cross multiply
    22,340.54x = 30,829.75 × 12,269.14
  4. Step 4: Simplify right side
    22,340.54x = 378,254,411.17
  5. Step 5: Solve for x
    x = 378,254,411.17/22,340.54
  6. Step 6: Final answer
    x = 16,931.30

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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.