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Finding the Fourth Proportional to 22,566, 31,133.88 and 14,614.32

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Solution

The fourth proportional to 22,566, 31,133.88 and 14,614.32 is: 20,163.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,566 : 31,133.88 = 14,614.32 : x
  2. Step 2: Convert to fraction form
    22,566/31,133.88 = 14,614.32/x
  3. Step 3: Cross multiply
    22,566x = 31,133.88 × 14,614.32
  4. Step 4: Simplify right side
    22,566x = 455,000,485.16
  5. Step 5: Solve for x
    x = 455,000,485.16/22,566
  6. Step 6: Final answer
    x = 20,163.10

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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.