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Finding the Fourth Proportional to 15,774.40, 23,695.97 and 9,537.36

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Solution

The fourth proportional to 15,774.40, 23,695.97 and 9,537.36 is: 14,326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.40 : 23,695.97 = 9,537.36 : x
  2. Step 2: Convert to fraction form
    15,774.40/23,695.97 = 9,537.36/x
  3. Step 3: Cross multiply
    15,774.40x = 23,695.97 × 9,537.36
  4. Step 4: Simplify right side
    15,774.40x = 225,996,996.44
  5. Step 5: Solve for x
    x = 225,996,996.44/15,774.40
  6. Step 6: Final answer
    x = 14,326.82

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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.