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Finding the Fourth Proportional to 21,872.70, 32,809.05 and 16,259.40

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Solution

The fourth proportional to 21,872.70, 32,809.05 and 16,259.40 is: 24,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.70 : 32,809.05 = 16,259.40 : x
  2. Step 2: Convert to fraction form
    21,872.70/32,809.05 = 16,259.40/x
  3. Step 3: Cross multiply
    21,872.70x = 32,809.05 × 16,259.40
  4. Step 4: Simplify right side
    21,872.70x = 533,455,467.57
  5. Step 5: Solve for x
    x = 533,455,467.57/21,872.70
  6. Step 6: Final answer
    x = 24,389.10

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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.