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Finding the Fourth Proportional to 12,438.96, 18,658.44 and 9,484.08

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Solution

The fourth proportional to 12,438.96, 18,658.44 and 9,484.08 is: 14,226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.96 : 18,658.44 = 9,484.08 : x
  2. Step 2: Convert to fraction form
    12,438.96/18,658.44 = 9,484.08/x
  3. Step 3: Cross multiply
    12,438.96x = 18,658.44 × 9,484.08
  4. Step 4: Simplify right side
    12,438.96x = 176,958,137.64
  5. Step 5: Solve for x
    x = 176,958,137.64/12,438.96
  6. Step 6: Final answer
    x = 14,226.12

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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.