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Finding the Fourth Proportional to 10,296.82, 15,415.80 and 9,642.90

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Solution

The fourth proportional to 10,296.82, 15,415.80 and 9,642.90 is: 14,436.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.82 : 15,415.80 = 9,642.90 : x
  2. Step 2: Convert to fraction form
    10,296.82/15,415.80 = 9,642.90/x
  3. Step 3: Cross multiply
    10,296.82x = 15,415.80 × 9,642.90
  4. Step 4: Simplify right side
    10,296.82x = 148,653,017.82
  5. Step 5: Solve for x
    x = 148,653,017.82/10,296.82
  6. Step 6: Final answer
    x = 14,436.79

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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.