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Finding the Fourth Proportional to 14,801.48, 22,195.74 and 5,561

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Solution

The fourth proportional to 14,801.48, 22,195.74 and 5,561 is: 8,339.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,801.48 : 22,195.74 = 5,561 : x
  2. Step 2: Convert to fraction form
    14,801.48/22,195.74 = 5,561/x
  3. Step 3: Cross multiply
    14,801.48x = 22,195.74 × 5,561
  4. Step 4: Simplify right side
    14,801.48x = 123,430,510.14
  5. Step 5: Solve for x
    x = 123,430,510.14/14,801.48
  6. Step 6: Final answer
    x = 8,339.07

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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.