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Finding the Fourth Proportional to 24,113.79, 36,194.06 and 11,642.59

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Solution

The fourth proportional to 24,113.79, 36,194.06 and 11,642.59 is: 17,475.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,113.79 : 36,194.06 = 11,642.59 : x
  2. Step 2: Convert to fraction form
    24,113.79/36,194.06 = 11,642.59/x
  3. Step 3: Cross multiply
    24,113.79x = 36,194.06 × 11,642.59
  4. Step 4: Simplify right side
    24,113.79x = 421,392,601.02
  5. Step 5: Solve for x
    x = 421,392,601.02/24,113.79
  6. Step 6: Final answer
    x = 17,475.17

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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.