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Finding the Fourth Proportional to 22,302.04, 30,777.60 and 12,230.50

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Solution

The fourth proportional to 22,302.04, 30,777.60 and 12,230.50 is: 16,878.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302.04 : 30,777.60 = 12,230.50 : x
  2. Step 2: Convert to fraction form
    22,302.04/30,777.60 = 12,230.50/x
  3. Step 3: Cross multiply
    22,302.04x = 30,777.60 × 12,230.50
  4. Step 4: Simplify right side
    22,302.04x = 376,425,436.80
  5. Step 5: Solve for x
    x = 376,425,436.80/22,302.04
  6. Step 6: Final answer
    x = 16,878.52

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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.