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Finding the Fourth Proportional to 26,065.28, 35,969.95 and 14,128.58

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Solution

The fourth proportional to 26,065.28, 35,969.95 and 14,128.58 is: 19,497.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,065.28 : 35,969.95 = 14,128.58 : x
  2. Step 2: Convert to fraction form
    26,065.28/35,969.95 = 14,128.58/x
  3. Step 3: Cross multiply
    26,065.28x = 35,969.95 × 14,128.58
  4. Step 4: Simplify right side
    26,065.28x = 508,204,316.17
  5. Step 5: Solve for x
    x = 508,204,316.17/26,065.28
  6. Step 6: Final answer
    x = 19,497.37

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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.