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Finding the Fourth Proportional to 22,884, 34,326.21 and 9,033

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Solution

The fourth proportional to 22,884, 34,326.21 and 9,033 is: 13,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,884 : 34,326.21 = 9,033 : x
  2. Step 2: Convert to fraction form
    22,884/34,326.21 = 9,033/x
  3. Step 3: Cross multiply
    22,884x = 34,326.21 × 9,033
  4. Step 4: Simplify right side
    22,884x = 310,068,654.93
  5. Step 5: Solve for x
    x = 310,068,654.93/22,884
  6. Step 6: Final answer
    x = 13,549.58

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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.