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Finding the Fourth Proportional to 16,184.48, 24,278.99 and 7,298.58

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Solution

The fourth proportional to 16,184.48, 24,278.99 and 7,298.58 is: 10,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.48 : 24,278.99 = 7,298.58 : x
  2. Step 2: Convert to fraction form
    16,184.48/24,278.99 = 7,298.58/x
  3. Step 3: Cross multiply
    16,184.48x = 24,278.99 × 7,298.58
  4. Step 4: Simplify right side
    16,184.48x = 177,202,114.34
  5. Step 5: Solve for x
    x = 177,202,114.34/16,184.48
  6. Step 6: Final answer
    x = 10,948.89

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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.