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Finding the Fourth Proportional to 15,380.01, 23,056.38 and 7,478.19

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Solution

The fourth proportional to 15,380.01, 23,056.38 and 7,478.19 is: 11,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,380.01 : 23,056.38 = 7,478.19 : x
  2. Step 2: Convert to fraction form
    15,380.01/23,056.38 = 7,478.19/x
  3. Step 3: Cross multiply
    15,380.01x = 23,056.38 × 7,478.19
  4. Step 4: Simplify right side
    15,380.01x = 172,419,990.35
  5. Step 5: Solve for x
    x = 172,419,990.35/15,380.01
  6. Step 6: Final answer
    x = 11,210.66

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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.