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Finding the Fourth Proportional to 22,047.46, 30,410.40 and 14,086.16

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Solution

The fourth proportional to 22,047.46, 30,410.40 and 14,086.16 is: 19,429.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,047.46 : 30,410.40 = 14,086.16 : x
  2. Step 2: Convert to fraction form
    22,047.46/30,410.40 = 14,086.16/x
  3. Step 3: Cross multiply
    22,047.46x = 30,410.40 × 14,086.16
  4. Step 4: Simplify right side
    22,047.46x = 428,365,760.06
  5. Step 5: Solve for x
    x = 428,365,760.06/22,047.46
  6. Step 6: Final answer
    x = 19,429.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.