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Finding the Fourth Proportional to 15,219.53, 20,985.86 and 9,834.88

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Solution

The fourth proportional to 15,219.53, 20,985.86 and 9,834.88 is: 13,561.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,219.53 : 20,985.86 = 9,834.88 : x
  2. Step 2: Convert to fraction form
    15,219.53/20,985.86 = 9,834.88/x
  3. Step 3: Cross multiply
    15,219.53x = 20,985.86 × 9,834.88
  4. Step 4: Simplify right side
    15,219.53x = 206,393,309.87
  5. Step 5: Solve for x
    x = 206,393,309.87/15,219.53
  6. Step 6: Final answer
    x = 13,561.08

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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.