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Finding the Fourth Proportional to 17,015.32, 23,482.16 and 9,461.71

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Solution

The fourth proportional to 17,015.32, 23,482.16 and 9,461.71 is: 13,057.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,015.32 : 23,482.16 = 9,461.71 : x
  2. Step 2: Convert to fraction form
    17,015.32/23,482.16 = 9,461.71/x
  3. Step 3: Cross multiply
    17,015.32x = 23,482.16 × 9,461.71
  4. Step 4: Simplify right side
    17,015.32x = 222,181,340.79
  5. Step 5: Solve for x
    x = 222,181,340.79/17,015.32
  6. Step 6: Final answer
    x = 13,057.72

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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.