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Finding the Fourth Proportional to 17,737.22, 24,477.53 and 9,779.73

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Solution

The fourth proportional to 17,737.22, 24,477.53 and 9,779.73 is: 13,496.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.22 : 24,477.53 = 9,779.73 : x
  2. Step 2: Convert to fraction form
    17,737.22/24,477.53 = 9,779.73/x
  3. Step 3: Cross multiply
    17,737.22x = 24,477.53 × 9,779.73
  4. Step 4: Simplify right side
    17,737.22x = 239,383,585.57
  5. Step 5: Solve for x
    x = 239,383,585.57/17,737.22
  6. Step 6: Final answer
    x = 13,496.12

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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.