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Finding the Fourth Proportional to 24,615.20, 36,922.80 and 9,826.40

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Solution

The fourth proportional to 24,615.20, 36,922.80 and 9,826.40 is: 14,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,615.20 : 36,922.80 = 9,826.40 : x
  2. Step 2: Convert to fraction form
    24,615.20/36,922.80 = 9,826.40/x
  3. Step 3: Cross multiply
    24,615.20x = 36,922.80 × 9,826.40
  4. Step 4: Simplify right side
    24,615.20x = 362,818,201.92
  5. Step 5: Solve for x
    x = 362,818,201.92/24,615.20
  6. Step 6: Final answer
    x = 14,739.60

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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.