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Finding the Fourth Proportional to 19,735.56, 29,589.90 and 7,413

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Solution

The fourth proportional to 19,735.56, 29,589.90 and 7,413 is: 11,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.56 : 29,589.90 = 7,413 : x
  2. Step 2: Convert to fraction form
    19,735.56/29,589.90 = 7,413/x
  3. Step 3: Cross multiply
    19,735.56x = 29,589.90 × 7,413
  4. Step 4: Simplify right side
    19,735.56x = 219,349,928.70
  5. Step 5: Solve for x
    x = 219,349,928.70/19,735.56
  6. Step 6: Final answer
    x = 11,114.45

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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.