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Finding the Fourth Proportional to 12,916.20, 19,374.30 and 7,991.40

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Solution

The fourth proportional to 12,916.20, 19,374.30 and 7,991.40 is: 11,987.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.20 : 19,374.30 = 7,991.40 : x
  2. Step 2: Convert to fraction form
    12,916.20/19,374.30 = 7,991.40/x
  3. Step 3: Cross multiply
    12,916.20x = 19,374.30 × 7,991.40
  4. Step 4: Simplify right side
    12,916.20x = 154,827,781.02
  5. Step 5: Solve for x
    x = 154,827,781.02/12,916.20
  6. Step 6: Final answer
    x = 11,987.10

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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.