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Finding the Fourth Proportional to 15,917.40, 21,967.80 and 9,633.24

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Solution

The fourth proportional to 15,917.40, 21,967.80 and 9,633.24 is: 13,294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,917.40 : 21,967.80 = 9,633.24 : x
  2. Step 2: Convert to fraction form
    15,917.40/21,967.80 = 9,633.24/x
  3. Step 3: Cross multiply
    15,917.40x = 21,967.80 × 9,633.24
  4. Step 4: Simplify right side
    15,917.40x = 211,621,089.67
  5. Step 5: Solve for x
    x = 211,621,089.67/15,917.40
  6. Step 6: Final answer
    x = 13,294.95

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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.