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Finding the Fourth Proportional to 17,745.96, 24,490.80 and 9,788.88

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Solution

The fourth proportional to 17,745.96, 24,490.80 and 9,788.88 is: 13,509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,745.96 : 24,490.80 = 9,788.88 : x
  2. Step 2: Convert to fraction form
    17,745.96/24,490.80 = 9,788.88/x
  3. Step 3: Cross multiply
    17,745.96x = 24,490.80 × 9,788.88
  4. Step 4: Simplify right side
    17,745.96x = 239,737,502.30
  5. Step 5: Solve for x
    x = 239,737,502.30/17,745.96
  6. Step 6: Final answer
    x = 13,509.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.