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Finding the Fourth Proportional to 14,383.42, 19,848.38 and 8,096.20

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Solution

The fourth proportional to 14,383.42, 19,848.38 and 8,096.20 is: 11,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,383.42 : 19,848.38 = 8,096.20 : x
  2. Step 2: Convert to fraction form
    14,383.42/19,848.38 = 8,096.20/x
  3. Step 3: Cross multiply
    14,383.42x = 19,848.38 × 8,096.20
  4. Step 4: Simplify right side
    14,383.42x = 160,696,454.16
  5. Step 5: Solve for x
    x = 160,696,454.16/14,383.42
  6. Step 6: Final answer
    x = 11,172.34

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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.