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Finding the Fourth Proportional to 23,184.60, 34,776.90 and 10,027.80

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Solution

The fourth proportional to 23,184.60, 34,776.90 and 10,027.80 is: 15,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184.60 : 34,776.90 = 10,027.80 : x
  2. Step 2: Convert to fraction form
    23,184.60/34,776.90 = 10,027.80/x
  3. Step 3: Cross multiply
    23,184.60x = 34,776.90 × 10,027.80
  4. Step 4: Simplify right side
    23,184.60x = 348,735,797.82
  5. Step 5: Solve for x
    x = 348,735,797.82/23,184.60
  6. Step 6: Final answer
    x = 15,041.70

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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.