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Finding the Fourth Proportional to 22,866.45, 34,304.92 and 8,075.50

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Solution

The fourth proportional to 22,866.45, 34,304.92 and 8,075.50 is: 12,115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,866.45 : 34,304.92 = 8,075.50 : x
  2. Step 2: Convert to fraction form
    22,866.45/34,304.92 = 8,075.50/x
  3. Step 3: Cross multiply
    22,866.45x = 34,304.92 × 8,075.50
  4. Step 4: Simplify right side
    22,866.45x = 277,029,275.51
  5. Step 5: Solve for x
    x = 277,029,275.51/22,866.45
  6. Step 6: Final answer
    x = 12,115.10

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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.