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Finding the Fourth Proportional to 24,203.34, 36,291.87 and 7,558.83

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Solution

The fourth proportional to 24,203.34, 36,291.87 and 7,558.83 is: 11,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,203.34 : 36,291.87 = 7,558.83 : x
  2. Step 2: Convert to fraction form
    24,203.34/36,291.87 = 7,558.83/x
  3. Step 3: Cross multiply
    24,203.34x = 36,291.87 × 7,558.83
  4. Step 4: Simplify right side
    24,203.34x = 274,324,075.71
  5. Step 5: Solve for x
    x = 274,324,075.71/24,203.34
  6. Step 6: Final answer
    x = 11,334.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.