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Finding the Fourth Proportional to 15,826.40, 23,740.40 and 4,139.68

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Solution

The fourth proportional to 15,826.40, 23,740.40 and 4,139.68 is: 6,209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,826.40 : 23,740.40 = 4,139.68 : x
  2. Step 2: Convert to fraction form
    15,826.40/23,740.40 = 4,139.68/x
  3. Step 3: Cross multiply
    15,826.40x = 23,740.40 × 4,139.68
  4. Step 4: Simplify right side
    15,826.40x = 98,277,659.07
  5. Step 5: Solve for x
    x = 98,277,659.07/15,826.40
  6. Step 6: Final answer
    x = 6,209.73

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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.