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Finding the Fourth Proportional to 22,339.66, 33,486 and 7,543.42

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Solution

The fourth proportional to 22,339.66, 33,486 and 7,543.42 is: 11,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,339.66 : 33,486 = 7,543.42 : x
  2. Step 2: Convert to fraction form
    22,339.66/33,486 = 7,543.42/x
  3. Step 3: Cross multiply
    22,339.66x = 33,486 × 7,543.42
  4. Step 4: Simplify right side
    22,339.66x = 252,598,962.12
  5. Step 5: Solve for x
    x = 252,598,962.12/22,339.66
  6. Step 6: Final answer
    x = 11,307.20

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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.