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Finding the Fourth Proportional to 15,778.52, 23,667.74 and 4,091.74

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Solution

The fourth proportional to 15,778.52, 23,667.74 and 4,091.74 is: 6,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.52 : 23,667.74 = 4,091.74 : x
  2. Step 2: Convert to fraction form
    15,778.52/23,667.74 = 4,091.74/x
  3. Step 3: Cross multiply
    15,778.52x = 23,667.74 × 4,091.74
  4. Step 4: Simplify right side
    15,778.52x = 96,842,238.47
  5. Step 5: Solve for x
    x = 96,842,238.47/15,778.52
  6. Step 6: Final answer
    x = 6,137.60

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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.