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Finding the Fourth Proportional to 15,120.84, 20,866.77 and 8,406.75

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Solution

The fourth proportional to 15,120.84, 20,866.77 and 8,406.75 is: 11,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,120.84 : 20,866.77 = 8,406.75 : x
  2. Step 2: Convert to fraction form
    15,120.84/20,866.77 = 8,406.75/x
  3. Step 3: Cross multiply
    15,120.84x = 20,866.77 × 8,406.75
  4. Step 4: Simplify right side
    15,120.84x = 175,421,718.70
  5. Step 5: Solve for x
    x = 175,421,718.70/15,120.84
  6. Step 6: Final answer
    x = 11,601.32

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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.