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Finding the Fourth Proportional to 15,777.06, 23,633.38 and 9,834.49

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Solution

The fourth proportional to 15,777.06, 23,633.38 and 9,834.49 is: 14,731.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777.06 : 23,633.38 = 9,834.49 : x
  2. Step 2: Convert to fraction form
    15,777.06/23,633.38 = 9,834.49/x
  3. Step 3: Cross multiply
    15,777.06x = 23,633.38 × 9,834.49
  4. Step 4: Simplify right side
    15,777.06x = 232,422,239.28
  5. Step 5: Solve for x
    x = 232,422,239.28/15,777.06
  6. Step 6: Final answer
    x = 14,731.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.