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Finding the Fourth Proportional to 10,165.89, 15,159.39 and 9,358.05

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Solution

The fourth proportional to 10,165.89, 15,159.39 and 9,358.05 is: 13,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.89 : 15,159.39 = 9,358.05 : x
  2. Step 2: Convert to fraction form
    10,165.89/15,159.39 = 9,358.05/x
  3. Step 3: Cross multiply
    10,165.89x = 15,159.39 × 9,358.05
  4. Step 4: Simplify right side
    10,165.89x = 141,862,329.59
  5. Step 5: Solve for x
    x = 141,862,329.59/10,165.89
  6. Step 6: Final answer
    x = 13,954.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.