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Finding the Fourth Proportional to 22,574.95, 33,843.94 and 8,527

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Solution

The fourth proportional to 22,574.95, 33,843.94 and 8,527 is: 12,783.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,574.95 : 33,843.94 = 8,527 : x
  2. Step 2: Convert to fraction form
    22,574.95/33,843.94 = 8,527/x
  3. Step 3: Cross multiply
    22,574.95x = 33,843.94 × 8,527
  4. Step 4: Simplify right side
    22,574.95x = 288,587,276.38
  5. Step 5: Solve for x
    x = 288,587,276.38/22,574.95
  6. Step 6: Final answer
    x = 12,783.52

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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.