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Finding the Fourth Proportional to 24,102.94, 36,156.13 and 7,460.84

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Solution

The fourth proportional to 24,102.94, 36,156.13 and 7,460.84 is: 11,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,102.94 : 36,156.13 = 7,460.84 : x
  2. Step 2: Convert to fraction form
    24,102.94/36,156.13 = 7,460.84/x
  3. Step 3: Cross multiply
    24,102.94x = 36,156.13 × 7,460.84
  4. Step 4: Simplify right side
    24,102.94x = 269,755,100.95
  5. Step 5: Solve for x
    x = 269,755,100.95/24,102.94
  6. Step 6: Final answer
    x = 11,191.79

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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.