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Finding the Fourth Proportional to 16,477.98, 22,737.42 and 9,307.86

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Solution

The fourth proportional to 16,477.98, 22,737.42 and 9,307.86 is: 12,843.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.98 : 22,737.42 = 9,307.86 : x
  2. Step 2: Convert to fraction form
    16,477.98/22,737.42 = 9,307.86/x
  3. Step 3: Cross multiply
    16,477.98x = 22,737.42 × 9,307.86
  4. Step 4: Simplify right side
    16,477.98x = 211,636,722.12
  5. Step 5: Solve for x
    x = 211,636,722.12/16,477.98
  6. Step 6: Final answer
    x = 12,843.61

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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.