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Finding the Fourth Proportional to 22,340, 33,514.08 and 9,185.20

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Solution

The fourth proportional to 22,340, 33,514.08 and 9,185.20 is: 13,779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,340 : 33,514.08 = 9,185.20 : x
  2. Step 2: Convert to fraction form
    22,340/33,514.08 = 9,185.20/x
  3. Step 3: Cross multiply
    22,340x = 33,514.08 × 9,185.20
  4. Step 4: Simplify right side
    22,340x = 307,833,527.62
  5. Step 5: Solve for x
    x = 307,833,527.62/22,340
  6. Step 6: Final answer
    x = 13,779.48

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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.