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Finding the Fourth Proportional to 38,437.80, 57,653.62 and 17,097.14

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Solution

The fourth proportional to 38,437.80, 57,653.62 and 17,097.14 is: 25,644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,437.80 : 57,653.62 = 17,097.14 : x
  2. Step 2: Convert to fraction form
    38,437.80/57,653.62 = 17,097.14/x
  3. Step 3: Cross multiply
    38,437.80x = 57,653.62 × 17,097.14
  4. Step 4: Simplify right side
    38,437.80x = 985,712,012.65
  5. Step 5: Solve for x
    x = 985,712,012.65/38,437.80
  6. Step 6: Final answer
    x = 25,644.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.