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Finding the Fourth Proportional to 16,154.34, 24,221.58 and 6,282.11

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Solution

The fourth proportional to 16,154.34, 24,221.58 and 6,282.11 is: 9,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,154.34 : 24,221.58 = 6,282.11 : x
  2. Step 2: Convert to fraction form
    16,154.34/24,221.58 = 6,282.11/x
  3. Step 3: Cross multiply
    16,154.34x = 24,221.58 × 6,282.11
  4. Step 4: Simplify right side
    16,154.34x = 152,162,477.42
  5. Step 5: Solve for x
    x = 152,162,477.42/16,154.34
  6. Step 6: Final answer
    x = 9,419.30

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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.