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Finding the Fourth Proportional to 17,779.21, 24,535.44 and 9,822.78

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Solution

The fourth proportional to 17,779.21, 24,535.44 and 9,822.78 is: 13,555.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,779.21 : 24,535.44 = 9,822.78 : x
  2. Step 2: Convert to fraction form
    17,779.21/24,535.44 = 9,822.78/x
  3. Step 3: Cross multiply
    17,779.21x = 24,535.44 × 9,822.78
  4. Step 4: Simplify right side
    17,779.21x = 241,006,229.32
  5. Step 5: Solve for x
    x = 241,006,229.32/17,779.21
  6. Step 6: Final answer
    x = 13,555.51

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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.