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Finding the Fourth Proportional to 26,065.41, 39,097.89 and 9,419.15

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Solution

The fourth proportional to 26,065.41, 39,097.89 and 9,419.15 is: 14,128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,065.41 : 39,097.89 = 9,419.15 : x
  2. Step 2: Convert to fraction form
    26,065.41/39,097.89 = 9,419.15/x
  3. Step 3: Cross multiply
    26,065.41x = 39,097.89 × 9,419.15
  4. Step 4: Simplify right side
    26,065.41x = 368,268,695.10
  5. Step 5: Solve for x
    x = 368,268,695.10/26,065.41
  6. Step 6: Final answer
    x = 14,128.64

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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.