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Finding the Fourth Proportional to 27,322.31, 40,984.84 and 12,524.52

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Solution

The fourth proportional to 27,322.31, 40,984.84 and 12,524.52 is: 18,787.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,322.31 : 40,984.84 = 12,524.52 : x
  2. Step 2: Convert to fraction form
    27,322.31/40,984.84 = 12,524.52/x
  3. Step 3: Cross multiply
    27,322.31x = 40,984.84 × 12,524.52
  4. Step 4: Simplify right side
    27,322.31x = 513,315,547.18
  5. Step 5: Solve for x
    x = 513,315,547.18/27,322.31
  6. Step 6: Final answer
    x = 18,787.41

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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.