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Finding the Fourth Proportional to 13,775.76, 19,005.12 and 8,994.20

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Solution

The fourth proportional to 13,775.76, 19,005.12 and 8,994.20 is: 12,408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.76 : 19,005.12 = 8,994.20 : x
  2. Step 2: Convert to fraction form
    13,775.76/19,005.12 = 8,994.20/x
  3. Step 3: Cross multiply
    13,775.76x = 19,005.12 × 8,994.20
  4. Step 4: Simplify right side
    13,775.76x = 170,935,755.28
  5. Step 5: Solve for x
    x = 170,935,755.28/13,775.76
  6. Step 6: Final answer
    x = 12,408.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.