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Finding the Fourth Proportional to 22,602.96, 31,191.24 and 12,666.32

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Solution

The fourth proportional to 22,602.96, 31,191.24 and 12,666.32 is: 17,479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,602.96 : 31,191.24 = 12,666.32 : x
  2. Step 2: Convert to fraction form
    22,602.96/31,191.24 = 12,666.32/x
  3. Step 3: Cross multiply
    22,602.96x = 31,191.24 × 12,666.32
  4. Step 4: Simplify right side
    22,602.96x = 395,078,227.04
  5. Step 5: Solve for x
    x = 395,078,227.04/22,602.96
  6. Step 6: Final answer
    x = 17,479.05

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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.