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Finding the Fourth Proportional to 19,014.96, 28,522.32 and 10,254

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Solution

The fourth proportional to 19,014.96, 28,522.32 and 10,254 is: 15,380.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,014.96 : 28,522.32 = 10,254 : x
  2. Step 2: Convert to fraction form
    19,014.96/28,522.32 = 10,254/x
  3. Step 3: Cross multiply
    19,014.96x = 28,522.32 × 10,254
  4. Step 4: Simplify right side
    19,014.96x = 292,467,869.28
  5. Step 5: Solve for x
    x = 292,467,869.28/19,014.96
  6. Step 6: Final answer
    x = 15,380.94

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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.