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Finding the Fourth Proportional to 14,473.64, 19,972.68 and 8,099.16

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Solution

The fourth proportional to 14,473.64, 19,972.68 and 8,099.16 is: 11,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,473.64 : 19,972.68 = 8,099.16 : x
  2. Step 2: Convert to fraction form
    14,473.64/19,972.68 = 8,099.16/x
  3. Step 3: Cross multiply
    14,473.64x = 19,972.68 × 8,099.16
  4. Step 4: Simplify right side
    14,473.64x = 161,761,930.95
  5. Step 5: Solve for x
    x = 161,761,930.95/14,473.64
  6. Step 6: Final answer
    x = 11,176.31

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1.5x scale

Why These Related Problems?

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