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Finding the Fourth Proportional to 24,375.04, 36,557.36 and 7,736.56

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Solution

The fourth proportional to 24,375.04, 36,557.36 and 7,736.56 is: 11,603.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375.04 : 36,557.36 = 7,736.56 : x
  2. Step 2: Convert to fraction form
    24,375.04/36,557.36 = 7,736.56/x
  3. Step 3: Cross multiply
    24,375.04x = 36,557.36 × 7,736.56
  4. Step 4: Simplify right side
    24,375.04x = 282,828,209.08
  5. Step 5: Solve for x
    x = 282,828,209.08/24,375.04
  6. Step 6: Final answer
    x = 11,603.19

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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.