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Finding the Fourth Proportional to 26,854.67, 40,282.02 and 10,210.86

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Solution

The fourth proportional to 26,854.67, 40,282.02 and 10,210.86 is: 15,316.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,854.67 : 40,282.02 = 10,210.86 : x
  2. Step 2: Convert to fraction form
    26,854.67/40,282.02 = 10,210.86/x
  3. Step 3: Cross multiply
    26,854.67x = 40,282.02 × 10,210.86
  4. Step 4: Simplify right side
    26,854.67x = 411,314,066.74
  5. Step 5: Solve for x
    x = 411,314,066.74/26,854.67
  6. Step 6: Final answer
    x = 15,316.30

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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.