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Finding the Fourth Proportional to 19,975.92, 29,966.76 and 6,126

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Solution

The fourth proportional to 19,975.92, 29,966.76 and 6,126 is: 9,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,975.92 : 29,966.76 = 6,126 : x
  2. Step 2: Convert to fraction form
    19,975.92/29,966.76 = 6,126/x
  3. Step 3: Cross multiply
    19,975.92x = 29,966.76 × 6,126
  4. Step 4: Simplify right side
    19,975.92x = 183,576,371.76
  5. Step 5: Solve for x
    x = 183,576,371.76/19,975.92
  6. Step 6: Final answer
    x = 9,189.88

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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.