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Finding the Fourth Proportional to 16,071.80, 24,096.90 and 7,302.20

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Solution

The fourth proportional to 16,071.80, 24,096.90 and 7,302.20 is: 10,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.80 : 24,096.90 = 7,302.20 : x
  2. Step 2: Convert to fraction form
    16,071.80/24,096.90 = 7,302.20/x
  3. Step 3: Cross multiply
    16,071.80x = 24,096.90 × 7,302.20
  4. Step 4: Simplify right side
    16,071.80x = 175,960,383.18
  5. Step 5: Solve for x
    x = 175,960,383.18/16,071.80
  6. Step 6: Final answer
    x = 10,948.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.