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Finding the Fourth Proportional to 17,737.46, 24,477.60 and 9,779.66

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Solution

The fourth proportional to 17,737.46, 24,477.60 and 9,779.66 is: 13,495.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.46 : 24,477.60 = 9,779.66 : x
  2. Step 2: Convert to fraction form
    17,737.46/24,477.60 = 9,779.66/x
  3. Step 3: Cross multiply
    17,737.46x = 24,477.60 × 9,779.66
  4. Step 4: Simplify right side
    17,737.46x = 239,382,605.62
  5. Step 5: Solve for x
    x = 239,382,605.62/17,737.46
  6. Step 6: Final answer
    x = 13,495.88

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