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Finding the Fourth Proportional to 22,641.56, 31,242.02 and 12,570.09

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Solution

The fourth proportional to 22,641.56, 31,242.02 and 12,570.09 is: 17,344.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.56 : 31,242.02 = 12,570.09 : x
  2. Step 2: Convert to fraction form
    22,641.56/31,242.02 = 12,570.09/x
  3. Step 3: Cross multiply
    22,641.56x = 31,242.02 × 12,570.09
  4. Step 4: Simplify right side
    22,641.56x = 392,714,840.85
  5. Step 5: Solve for x
    x = 392,714,840.85/22,641.56
  6. Step 6: Final answer
    x = 17,344.86

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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.