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Finding the Fourth Proportional to 22,959.76, 34,406.78 and 13,078.63

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Solution

The fourth proportional to 22,959.76, 34,406.78 and 13,078.63 is: 19,599.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,959.76 : 34,406.78 = 13,078.63 : x
  2. Step 2: Convert to fraction form
    22,959.76/34,406.78 = 13,078.63/x
  3. Step 3: Cross multiply
    22,959.76x = 34,406.78 × 13,078.63
  4. Step 4: Simplify right side
    22,959.76x = 449,993,545.11
  5. Step 5: Solve for x
    x = 449,993,545.11/22,959.76
  6. Step 6: Final answer
    x = 19,599.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.