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Finding the Fourth Proportional to 12,994.80, 19,459.80 and 10,402.80

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Solution

The fourth proportional to 12,994.80, 19,459.80 and 10,402.80 is: 15,578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994.80 : 19,459.80 = 10,402.80 : x
  2. Step 2: Convert to fraction form
    12,994.80/19,459.80 = 10,402.80/x
  3. Step 3: Cross multiply
    12,994.80x = 19,459.80 × 10,402.80
  4. Step 4: Simplify right side
    12,994.80x = 202,436,407.44
  5. Step 5: Solve for x
    x = 202,436,407.44/12,994.80
  6. Step 6: Final answer
    x = 15,578.26

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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.