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Finding the Fourth Proportional to 26,858.55, 40,287.84 and 10,214.74

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Solution

The fourth proportional to 26,858.55, 40,287.84 and 10,214.74 is: 15,322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,858.55 : 40,287.84 = 10,214.74 : x
  2. Step 2: Convert to fraction form
    26,858.55/40,287.84 = 10,214.74/x
  3. Step 3: Cross multiply
    26,858.55x = 40,287.84 × 10,214.74
  4. Step 4: Simplify right side
    26,858.55x = 411,529,810.76
  5. Step 5: Solve for x
    x = 411,529,810.76/26,858.55
  6. Step 6: Final answer
    x = 15,322.12

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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.