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Finding the Fourth Proportional to 12,213.77, 16,870.82 and 9,033.53

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Solution

The fourth proportional to 12,213.77, 16,870.82 and 9,033.53 is: 12,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.77 : 16,870.82 = 9,033.53 : x
  2. Step 2: Convert to fraction form
    12,213.77/16,870.82 = 9,033.53/x
  3. Step 3: Cross multiply
    12,213.77x = 16,870.82 × 9,033.53
  4. Step 4: Simplify right side
    12,213.77x = 152,402,929.07
  5. Step 5: Solve for x
    x = 152,402,929.07/12,213.77
  6. Step 6: Final answer
    x = 12,477.96

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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.