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Finding the Fourth Proportional to 26,965.60, 40,429.20 and 10,319.20

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Solution

The fourth proportional to 26,965.60, 40,429.20 and 10,319.20 is: 15,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,965.60 : 40,429.20 = 10,319.20 : x
  2. Step 2: Convert to fraction form
    26,965.60/40,429.20 = 10,319.20/x
  3. Step 3: Cross multiply
    26,965.60x = 40,429.20 × 10,319.20
  4. Step 4: Simplify right side
    26,965.60x = 417,197,000.64
  5. Step 5: Solve for x
    x = 417,197,000.64/26,965.60
  6. Step 6: Final answer
    x = 15,471.45

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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.