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Finding the Fourth Proportional to 15,322.53, 22,962.42 and 8,287.41

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Solution

The fourth proportional to 15,322.53, 22,962.42 and 8,287.41 is: 12,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,322.53 : 22,962.42 = 8,287.41 : x
  2. Step 2: Convert to fraction form
    15,322.53/22,962.42 = 8,287.41/x
  3. Step 3: Cross multiply
    15,322.53x = 22,962.42 × 8,287.41
  4. Step 4: Simplify right side
    15,322.53x = 190,298,989.13
  5. Step 5: Solve for x
    x = 190,298,989.13/15,322.53
  6. Step 6: Final answer
    x = 12,419.55

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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.