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Finding the Fourth Proportional to 24,021, 36,031.66 and 7,605

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Solution

The fourth proportional to 24,021, 36,031.66 and 7,605 is: 11,407.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,021 : 36,031.66 = 7,605 : x
  2. Step 2: Convert to fraction form
    24,021/36,031.66 = 7,605/x
  3. Step 3: Cross multiply
    24,021x = 36,031.66 × 7,605
  4. Step 4: Simplify right side
    24,021x = 274,020,774.30
  5. Step 5: Solve for x
    x = 274,020,774.30/24,021
  6. Step 6: Final answer
    x = 11,407.55

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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.