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Finding the Fourth Proportional to 19,980.56, 29,977.24 and 9,593.04

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Solution

The fourth proportional to 19,980.56, 29,977.24 and 9,593.04 is: 14,392.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980.56 : 29,977.24 = 9,593.04 : x
  2. Step 2: Convert to fraction form
    19,980.56/29,977.24 = 9,593.04/x
  3. Step 3: Cross multiply
    19,980.56x = 29,977.24 × 9,593.04
  4. Step 4: Simplify right side
    19,980.56x = 287,572,862.41
  5. Step 5: Solve for x
    x = 287,572,862.41/19,980.56
  6. Step 6: Final answer
    x = 14,392.63

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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.