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Finding the Fourth Proportional to 24,019.50, 36,029.26 and 7,603.50

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Solution

The fourth proportional to 24,019.50, 36,029.26 and 7,603.50 is: 11,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,019.50 : 36,029.26 = 7,603.50 : x
  2. Step 2: Convert to fraction form
    24,019.50/36,029.26 = 7,603.50/x
  3. Step 3: Cross multiply
    24,019.50x = 36,029.26 × 7,603.50
  4. Step 4: Simplify right side
    24,019.50x = 273,948,478.41
  5. Step 5: Solve for x
    x = 273,948,478.41/24,019.50
  6. Step 6: Final answer
    x = 11,405.25

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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.