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Finding the Fourth Proportional to 14,492.80, 21,739.20 and 5,724.16

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Solution

The fourth proportional to 14,492.80, 21,739.20 and 5,724.16 is: 8,586.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492.80 : 21,739.20 = 5,724.16 : x
  2. Step 2: Convert to fraction form
    14,492.80/21,739.20 = 5,724.16/x
  3. Step 3: Cross multiply
    14,492.80x = 21,739.20 × 5,724.16
  4. Step 4: Simplify right side
    14,492.80x = 124,438,659.07
  5. Step 5: Solve for x
    x = 124,438,659.07/14,492.80
  6. Step 6: Final answer
    x = 8,586.24

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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.