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Finding the Fourth Proportional to 24,237.56, 36,355.30 and 7,597.22

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Solution

The fourth proportional to 24,237.56, 36,355.30 and 7,597.22 is: 11,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,237.56 : 36,355.30 = 7,597.22 : x
  2. Step 2: Convert to fraction form
    24,237.56/36,355.30 = 7,597.22/x
  3. Step 3: Cross multiply
    24,237.56x = 36,355.30 × 7,597.22
  4. Step 4: Simplify right side
    24,237.56x = 276,199,212.27
  5. Step 5: Solve for x
    x = 276,199,212.27/24,237.56
  6. Step 6: Final answer
    x = 11,395.50

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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.