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Finding the Fourth Proportional to 12,148.84, 18,209.10 and 5,575.72

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Solution

The fourth proportional to 12,148.84, 18,209.10 and 5,575.72 is: 8,357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.84 : 18,209.10 = 5,575.72 : x
  2. Step 2: Convert to fraction form
    12,148.84/18,209.10 = 5,575.72/x
  3. Step 3: Cross multiply
    12,148.84x = 18,209.10 × 5,575.72
  4. Step 4: Simplify right side
    12,148.84x = 101,528,843.05
  5. Step 5: Solve for x
    x = 101,528,843.05/12,148.84
  6. Step 6: Final answer
    x = 8,357.08

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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.