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Finding the Fourth Proportional to 22,816.99, 31,451.73 and 20,984.01

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Solution

The fourth proportional to 22,816.99, 31,451.73 and 20,984.01 is: 28,925.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816.99 : 31,451.73 = 20,984.01 : x
  2. Step 2: Convert to fraction form
    22,816.99/31,451.73 = 20,984.01/x
  3. Step 3: Cross multiply
    22,816.99x = 31,451.73 × 20,984.01
  4. Step 4: Simplify right side
    22,816.99x = 659,983,397.12
  5. Step 5: Solve for x
    x = 659,983,397.12/22,816.99
  6. Step 6: Final answer
    x = 28,925.08

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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.