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Finding the Fourth Proportional to 12,421.50, 18,646.11 and 6,885.66

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Solution

The fourth proportional to 12,421.50, 18,646.11 and 6,885.66 is: 10,336.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,421.50 : 18,646.11 = 6,885.66 : x
  2. Step 2: Convert to fraction form
    12,421.50/18,646.11 = 6,885.66/x
  3. Step 3: Cross multiply
    12,421.50x = 18,646.11 × 6,885.66
  4. Step 4: Simplify right side
    12,421.50x = 128,390,773.78
  5. Step 5: Solve for x
    x = 128,390,773.78/12,421.50
  6. Step 6: Final answer
    x = 10,336.17

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Why These Related Problems?

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