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Finding the Fourth Proportional to 15,471.69, 21,351.41 and 9,097.13

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Solution

The fourth proportional to 15,471.69, 21,351.41 and 9,097.13 is: 12,554.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.69 : 21,351.41 = 9,097.13 : x
  2. Step 2: Convert to fraction form
    15,471.69/21,351.41 = 9,097.13/x
  3. Step 3: Cross multiply
    15,471.69x = 21,351.41 × 9,097.13
  4. Step 4: Simplify right side
    15,471.69x = 194,236,400.21
  5. Step 5: Solve for x
    x = 194,236,400.21/15,471.69
  6. Step 6: Final answer
    x = 12,554.31

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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.