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Finding the Fourth Proportional to 12,952.80, 19,429.20 and 11,872.80

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Solution

The fourth proportional to 12,952.80, 19,429.20 and 11,872.80 is: 17,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.80 : 19,429.20 = 11,872.80 : x
  2. Step 2: Convert to fraction form
    12,952.80/19,429.20 = 11,872.80/x
  3. Step 3: Cross multiply
    12,952.80x = 19,429.20 × 11,872.80
  4. Step 4: Simplify right side
    12,952.80x = 230,679,005.76
  5. Step 5: Solve for x
    x = 230,679,005.76/12,952.80
  6. Step 6: Final answer
    x = 17,809.20

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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.