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Finding the Fourth Proportional to 22,575.82, 31,152.26 and 12,504

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Solution

The fourth proportional to 22,575.82, 31,152.26 and 12,504 is: 17,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,575.82 : 31,152.26 = 12,504 : x
  2. Step 2: Convert to fraction form
    22,575.82/31,152.26 = 12,504/x
  3. Step 3: Cross multiply
    22,575.82x = 31,152.26 × 12,504
  4. Step 4: Simplify right side
    22,575.82x = 389,527,859.04
  5. Step 5: Solve for x
    x = 389,527,859.04/22,575.82
  6. Step 6: Final answer
    x = 17,254.21

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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.