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Finding the Fourth Proportional to 17,737.54, 24,477.86 and 9,779.60

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Solution

The fourth proportional to 17,737.54, 24,477.86 and 9,779.60 is: 13,495.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.54 : 24,477.86 = 9,779.60 : x
  2. Step 2: Convert to fraction form
    17,737.54/24,477.86 = 9,779.60/x
  3. Step 3: Cross multiply
    17,737.54x = 24,477.86 × 9,779.60
  4. Step 4: Simplify right side
    17,737.54x = 239,383,679.66
  5. Step 5: Solve for x
    x = 239,383,679.66/17,737.54
  6. Step 6: Final answer
    x = 13,495.88

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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.