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Finding the Fourth Proportional to 24,271.46, 36,407.21 and 7,632.95

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Solution

The fourth proportional to 24,271.46, 36,407.21 and 7,632.95 is: 11,449.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,271.46 : 36,407.21 = 7,632.95 : x
  2. Step 2: Convert to fraction form
    24,271.46/36,407.21 = 7,632.95/x
  3. Step 3: Cross multiply
    24,271.46x = 36,407.21 × 7,632.95
  4. Step 4: Simplify right side
    24,271.46x = 277,894,193.37
  5. Step 5: Solve for x
    x = 277,894,193.37/24,271.46
  6. Step 6: Final answer
    x = 11,449.42

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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.