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Finding the Fourth Proportional to 24,019, 36,028.66 and 7,603

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Solution

The fourth proportional to 24,019, 36,028.66 and 7,603 is: 11,404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,019 : 36,028.66 = 7,603 : x
  2. Step 2: Convert to fraction form
    24,019/36,028.66 = 7,603/x
  3. Step 3: Cross multiply
    24,019x = 36,028.66 × 7,603
  4. Step 4: Simplify right side
    24,019x = 273,925,901.98
  5. Step 5: Solve for x
    x = 273,925,901.98/24,019
  6. Step 6: Final answer
    x = 11,404.55

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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.