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Finding the Fourth Proportional to 16,799.42, 23,184.16 and 9,630.53

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Solution

The fourth proportional to 16,799.42, 23,184.16 and 9,630.53 is: 13,290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,799.42 : 23,184.16 = 9,630.53 : x
  2. Step 2: Convert to fraction form
    16,799.42/23,184.16 = 9,630.53/x
  3. Step 3: Cross multiply
    16,799.42x = 23,184.16 × 9,630.53
  4. Step 4: Simplify right side
    16,799.42x = 223,275,748.40
  5. Step 5: Solve for x
    x = 223,275,748.40/16,799.42
  6. Step 6: Final answer
    x = 13,290.68

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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.