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Finding the Fourth Proportional to 16,477.24, 22,737.72 and 9,404.32

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Solution

The fourth proportional to 16,477.24, 22,737.72 and 9,404.32 is: 12,977.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.24 : 22,737.72 = 9,404.32 : x
  2. Step 2: Convert to fraction form
    16,477.24/22,737.72 = 9,404.32/x
  3. Step 3: Cross multiply
    16,477.24x = 22,737.72 × 9,404.32
  4. Step 4: Simplify right side
    16,477.24x = 213,832,794.95
  5. Step 5: Solve for x
    x = 213,832,794.95/16,477.24
  6. Step 6: Final answer
    x = 12,977.46

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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.