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Finding the Fourth Proportional to 12,885.48, 19,326.80 and 6,291.68

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Solution

The fourth proportional to 12,885.48, 19,326.80 and 6,291.68 is: 9,436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.48 : 19,326.80 = 6,291.68 : x
  2. Step 2: Convert to fraction form
    12,885.48/19,326.80 = 6,291.68/x
  3. Step 3: Cross multiply
    12,885.48x = 19,326.80 × 6,291.68
  4. Step 4: Simplify right side
    12,885.48x = 121,597,960.12
  5. Step 5: Solve for x
    x = 121,597,960.12/12,885.48
  6. Step 6: Final answer
    x = 9,436.82

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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.