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Finding the Fourth Proportional to 15,315, 22,968.40 and 4,219.05

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Solution

The fourth proportional to 15,315, 22,968.40 and 4,219.05 is: 6,327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,315 : 22,968.40 = 4,219.05 : x
  2. Step 2: Convert to fraction form
    15,315/22,968.40 = 4,219.05/x
  3. Step 3: Cross multiply
    15,315x = 22,968.40 × 4,219.05
  4. Step 4: Simplify right side
    15,315x = 96,904,806.92
  5. Step 5: Solve for x
    x = 96,904,806.92/15,315
  6. Step 6: Final answer
    x = 6,327.44

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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.