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Finding the Fourth Proportional to 15,917.24, 21,968.50 and 9,206.95

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Solution

The fourth proportional to 15,917.24, 21,968.50 and 9,206.95 is: 12,707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,917.24 : 21,968.50 = 9,206.95 : x
  2. Step 2: Convert to fraction form
    15,917.24/21,968.50 = 9,206.95/x
  3. Step 3: Cross multiply
    15,917.24x = 21,968.50 × 9,206.95
  4. Step 4: Simplify right side
    15,917.24x = 202,262,814.65
  5. Step 5: Solve for x
    x = 202,262,814.65/15,917.24
  6. Step 6: Final answer
    x = 12,707.15

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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.