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Finding the Fourth Proportional to 15,188.25, 22,784 and 6,424.05

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Solution

The fourth proportional to 15,188.25, 22,784 and 6,424.05 is: 9,636.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,188.25 : 22,784 = 6,424.05 : x
  2. Step 2: Convert to fraction form
    15,188.25/22,784 = 6,424.05/x
  3. Step 3: Cross multiply
    15,188.25x = 22,784 × 6,424.05
  4. Step 4: Simplify right side
    15,188.25x = 146,365,555.20
  5. Step 5: Solve for x
    x = 146,365,555.20/15,188.25
  6. Step 6: Final answer
    x = 9,636.76

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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.