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Finding the Fourth Proportional to 10,014.34, 15,023.66 and 2,994.90

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Solution

The fourth proportional to 10,014.34, 15,023.66 and 2,994.90 is: 4,492.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.34 : 15,023.66 = 2,994.90 : x
  2. Step 2: Convert to fraction form
    10,014.34/15,023.66 = 2,994.90/x
  3. Step 3: Cross multiply
    10,014.34x = 15,023.66 × 2,994.90
  4. Step 4: Simplify right side
    10,014.34x = 44,994,359.33
  5. Step 5: Solve for x
    x = 44,994,359.33/10,014.34
  6. Step 6: Final answer
    x = 4,492.99

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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.