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Finding the Fourth Proportional to 21,809.60, 32,714.40 and 14,422.40

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Solution

The fourth proportional to 21,809.60, 32,714.40 and 14,422.40 is: 21,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,809.60 : 32,714.40 = 14,422.40 : x
  2. Step 2: Convert to fraction form
    21,809.60/32,714.40 = 14,422.40/x
  3. Step 3: Cross multiply
    21,809.60x = 32,714.40 × 14,422.40
  4. Step 4: Simplify right side
    21,809.60x = 471,820,162.56
  5. Step 5: Solve for x
    x = 471,820,162.56/21,809.60
  6. Step 6: Final answer
    x = 21,633.60

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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.