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Finding the Fourth Proportional to 15,920.95, 21,969.30 and 9,206.05

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Solution

The fourth proportional to 15,920.95, 21,969.30 and 9,206.05 is: 12,703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.95 : 21,969.30 = 9,206.05 : x
  2. Step 2: Convert to fraction form
    15,920.95/21,969.30 = 9,206.05/x
  3. Step 3: Cross multiply
    15,920.95x = 21,969.30 × 9,206.05
  4. Step 4: Simplify right side
    15,920.95x = 202,250,474.27
  5. Step 5: Solve for x
    x = 202,250,474.27/15,920.95
  6. Step 6: Final answer
    x = 12,703.42

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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.