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Finding the Fourth Proportional to 17,737.73, 24,477.45 and 9,779.90

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Solution

The fourth proportional to 17,737.73, 24,477.45 and 9,779.90 is: 13,495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.73 : 24,477.45 = 9,779.90 : x
  2. Step 2: Convert to fraction form
    17,737.73/24,477.45 = 9,779.90/x
  3. Step 3: Cross multiply
    17,737.73x = 24,477.45 × 9,779.90
  4. Step 4: Simplify right side
    17,737.73x = 239,386,890.87
  5. Step 5: Solve for x
    x = 239,386,890.87/17,737.73
  6. Step 6: Final answer
    x = 13,495.92

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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.