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Finding the Fourth Proportional to 16,829.84, 23,224.14 and 9,275.76

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Solution

The fourth proportional to 16,829.84, 23,224.14 and 9,275.76 is: 12,799.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,829.84 : 23,224.14 = 9,275.76 : x
  2. Step 2: Convert to fraction form
    16,829.84/23,224.14 = 9,275.76/x
  3. Step 3: Cross multiply
    16,829.84x = 23,224.14 × 9,275.76
  4. Step 4: Simplify right side
    16,829.84x = 215,421,548.85
  5. Step 5: Solve for x
    x = 215,421,548.85/16,829.84
  6. Step 6: Final answer
    x = 12,799.97

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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.