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Finding the Fourth Proportional to 19,829.68, 29,733.42 and 8,151.10

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Solution

The fourth proportional to 19,829.68, 29,733.42 and 8,151.10 is: 12,222.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829.68 : 29,733.42 = 8,151.10 : x
  2. Step 2: Convert to fraction form
    19,829.68/29,733.42 = 8,151.10/x
  3. Step 3: Cross multiply
    19,829.68x = 29,733.42 × 8,151.10
  4. Step 4: Simplify right side
    19,829.68x = 242,360,079.76
  5. Step 5: Solve for x
    x = 242,360,079.76/19,829.68
  6. Step 6: Final answer
    x = 12,222.09

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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.