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Finding the Fourth Proportional to 26,200, 36,155.64 and 15,589.36

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Solution

The fourth proportional to 26,200, 36,155.64 and 15,589.36 is: 21,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,200 : 36,155.64 = 15,589.36 : x
  2. Step 2: Convert to fraction form
    26,200/36,155.64 = 15,589.36/x
  3. Step 3: Cross multiply
    26,200x = 36,155.64 × 15,589.36
  4. Step 4: Simplify right side
    26,200x = 563,643,287.99
  5. Step 5: Solve for x
    x = 563,643,287.99/26,200
  6. Step 6: Final answer
    x = 21,513.10

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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.