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Finding the Fourth Proportional to 26,854.66, 40,284.78 and 12,812.32

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Solution

The fourth proportional to 26,854.66, 40,284.78 and 12,812.32 is: 19,219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,854.66 : 40,284.78 = 12,812.32 : x
  2. Step 2: Convert to fraction form
    26,854.66/40,284.78 = 12,812.32/x
  3. Step 3: Cross multiply
    26,854.66x = 40,284.78 × 12,812.32
  4. Step 4: Simplify right side
    26,854.66x = 516,141,492.49
  5. Step 5: Solve for x
    x = 516,141,492.49/26,854.66
  6. Step 6: Final answer
    x = 19,219.81

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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.