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Finding the Fourth Proportional to 19,357.12, 29,040.48 and 5,506

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Solution

The fourth proportional to 19,357.12, 29,040.48 and 5,506 is: 8,260.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,357.12 : 29,040.48 = 5,506 : x
  2. Step 2: Convert to fraction form
    19,357.12/29,040.48 = 5,506/x
  3. Step 3: Cross multiply
    19,357.12x = 29,040.48 × 5,506
  4. Step 4: Simplify right side
    19,357.12x = 159,896,882.88
  5. Step 5: Solve for x
    x = 159,896,882.88/19,357.12
  6. Step 6: Final answer
    x = 8,260.37

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Why These Related Problems?

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