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Finding the Fourth Proportional to 15,482.42, 21,371.19 and 9,194.75

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Solution

The fourth proportional to 15,482.42, 21,371.19 and 9,194.75 is: 12,691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,482.42 : 21,371.19 = 9,194.75 : x
  2. Step 2: Convert to fraction form
    15,482.42/21,371.19 = 9,194.75/x
  3. Step 3: Cross multiply
    15,482.42x = 21,371.19 × 9,194.75
  4. Step 4: Simplify right side
    15,482.42x = 196,502,749.25
  5. Step 5: Solve for x
    x = 196,502,749.25/15,482.42
  6. Step 6: Final answer
    x = 12,691.99

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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.