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Finding the Fourth Proportional to 22,686.88, 34,025.10 and 8,648.50

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Solution

The fourth proportional to 22,686.88, 34,025.10 and 8,648.50 is: 12,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,686.88 : 34,025.10 = 8,648.50 : x
  2. Step 2: Convert to fraction form
    22,686.88/34,025.10 = 8,648.50/x
  3. Step 3: Cross multiply
    22,686.88x = 34,025.10 × 8,648.50
  4. Step 4: Simplify right side
    22,686.88x = 294,266,077.35
  5. Step 5: Solve for x
    x = 294,266,077.35/22,686.88
  6. Step 6: Final answer
    x = 12,970.76

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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.