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Finding the Fourth Proportional to 21,409.20, 32,113.80 and 14,410.80

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Solution

The fourth proportional to 21,409.20, 32,113.80 and 14,410.80 is: 21,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409.20 : 32,113.80 = 14,410.80 : x
  2. Step 2: Convert to fraction form
    21,409.20/32,113.80 = 14,410.80/x
  3. Step 3: Cross multiply
    21,409.20x = 32,113.80 × 14,410.80
  4. Step 4: Simplify right side
    21,409.20x = 462,785,549.04
  5. Step 5: Solve for x
    x = 462,785,549.04/21,409.20
  6. Step 6: Final answer
    x = 21,616.20

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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.