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Finding the Fourth Proportional to 14,476, 19,976.88 and 8,188.24

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Solution

The fourth proportional to 14,476, 19,976.88 and 8,188.24 is: 11,299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476 : 19,976.88 = 8,188.24 : x
  2. Step 2: Convert to fraction form
    14,476/19,976.88 = 8,188.24/x
  3. Step 3: Cross multiply
    14,476x = 19,976.88 × 8,188.24
  4. Step 4: Simplify right side
    14,476x = 163,575,487.89
  5. Step 5: Solve for x
    x = 163,575,487.89/14,476
  6. Step 6: Final answer
    x = 11,299.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.