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Finding the Fourth Proportional to 21,809.12, 32,714.51 and 7,016.09

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Solution

The fourth proportional to 21,809.12, 32,714.51 and 7,016.09 is: 10,524.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,809.12 : 32,714.51 = 7,016.09 : x
  2. Step 2: Convert to fraction form
    21,809.12/32,714.51 = 7,016.09/x
  3. Step 3: Cross multiply
    21,809.12x = 32,714.51 × 7,016.09
  4. Step 4: Simplify right side
    21,809.12x = 229,527,747.81
  5. Step 5: Solve for x
    x = 229,527,747.81/21,809.12
  6. Step 6: Final answer
    x = 10,524.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.