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Finding the Fourth Proportional to 24,307.38, 36,459.68 and 7,667.04

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Solution

The fourth proportional to 24,307.38, 36,459.68 and 7,667.04 is: 11,500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,307.38 : 36,459.68 = 7,667.04 : x
  2. Step 2: Convert to fraction form
    24,307.38/36,459.68 = 7,667.04/x
  3. Step 3: Cross multiply
    24,307.38x = 36,459.68 × 7,667.04
  4. Step 4: Simplify right side
    24,307.38x = 279,537,786.61
  5. Step 5: Solve for x
    x = 279,537,786.61/24,307.38
  6. Step 6: Final answer
    x = 11,500.12

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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.