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Finding the Fourth Proportional to 15,188.32, 22,784.10 and 6,424.12

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Solution

The fourth proportional to 15,188.32, 22,784.10 and 6,424.12 is: 9,636.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,188.32 : 22,784.10 = 6,424.12 : x
  2. Step 2: Convert to fraction form
    15,188.32/22,784.10 = 6,424.12/x
  3. Step 3: Cross multiply
    15,188.32x = 22,784.10 × 6,424.12
  4. Step 4: Simplify right side
    15,188.32x = 146,367,792.49
  5. Step 5: Solve for x
    x = 146,367,792.49/15,188.32
  6. Step 6: Final answer
    x = 9,636.87

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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.