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Finding the Fourth Proportional to 12,225.77, 16,871.90 and 6,920.47

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Solution

The fourth proportional to 12,225.77, 16,871.90 and 6,920.47 is: 9,550.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.77 : 16,871.90 = 6,920.47 : x
  2. Step 2: Convert to fraction form
    12,225.77/16,871.90 = 6,920.47/x
  3. Step 3: Cross multiply
    12,225.77x = 16,871.90 × 6,920.47
  4. Step 4: Simplify right side
    12,225.77x = 116,761,477.79
  5. Step 5: Solve for x
    x = 116,761,477.79/12,225.77
  6. Step 6: Final answer
    x = 9,550.44

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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.