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Finding the Fourth Proportional to 26,315.67, 36,315.64 and 14,216.16

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Solution

The fourth proportional to 26,315.67, 36,315.64 and 14,216.16 is: 19,618.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,315.67 : 36,315.64 = 14,216.16 : x
  2. Step 2: Convert to fraction form
    26,315.67/36,315.64 = 14,216.16/x
  3. Step 3: Cross multiply
    26,315.67x = 36,315.64 × 14,216.16
  4. Step 4: Simplify right side
    26,315.67x = 516,268,913.20
  5. Step 5: Solve for x
    x = 516,268,913.20/26,315.67
  6. Step 6: Final answer
    x = 19,618.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.