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Finding the Fourth Proportional to 17,415.74, 24,034.20 and 9,458.44

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Solution

The fourth proportional to 17,415.74, 24,034.20 and 9,458.44 is: 13,052.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,415.74 : 24,034.20 = 9,458.44 : x
  2. Step 2: Convert to fraction form
    17,415.74/24,034.20 = 9,458.44/x
  3. Step 3: Cross multiply
    17,415.74x = 24,034.20 × 9,458.44
  4. Step 4: Simplify right side
    17,415.74x = 227,326,038.65
  5. Step 5: Solve for x
    x = 227,326,038.65/17,415.74
  6. Step 6: Final answer
    x = 13,052.91

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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.