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Finding the Fourth Proportional to 24,470.19, 36,707.72 and 7,826.04

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Solution

The fourth proportional to 24,470.19, 36,707.72 and 7,826.04 is: 11,739.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,470.19 : 36,707.72 = 7,826.04 : x
  2. Step 2: Convert to fraction form
    24,470.19/36,707.72 = 7,826.04/x
  3. Step 3: Cross multiply
    24,470.19x = 36,707.72 × 7,826.04
  4. Step 4: Simplify right side
    24,470.19x = 287,276,045.90
  5. Step 5: Solve for x
    x = 287,276,045.90/24,470.19
  6. Step 6: Final answer
    x = 11,739.84

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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.