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Finding the Fourth Proportional to 12,886.40, 19,329.60 and 9,966.80

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Solution

The fourth proportional to 12,886.40, 19,329.60 and 9,966.80 is: 14,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.40 : 19,329.60 = 9,966.80 : x
  2. Step 2: Convert to fraction form
    12,886.40/19,329.60 = 9,966.80/x
  3. Step 3: Cross multiply
    12,886.40x = 19,329.60 × 9,966.80
  4. Step 4: Simplify right side
    12,886.40x = 192,654,257.28
  5. Step 5: Solve for x
    x = 192,654,257.28/12,886.40
  6. Step 6: Final answer
    x = 14,950.20

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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.