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Finding the Fourth Proportional to 15,698.70, 23,538.25 and 7,375.14

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Solution

The fourth proportional to 15,698.70, 23,538.25 and 7,375.14 is: 11,058.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698.70 : 23,538.25 = 7,375.14 : x
  2. Step 2: Convert to fraction form
    15,698.70/23,538.25 = 7,375.14/x
  3. Step 3: Cross multiply
    15,698.70x = 23,538.25 × 7,375.14
  4. Step 4: Simplify right side
    15,698.70x = 173,597,889.11
  5. Step 5: Solve for x
    x = 173,597,889.11/15,698.70
  6. Step 6: Final answer
    x = 11,058.11

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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.