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Finding the Fourth Proportional to 22,652.96, 31,256.42 and 13,089.42

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Solution

The fourth proportional to 22,652.96, 31,256.42 and 13,089.42 is: 18,060.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.96 : 31,256.42 = 13,089.42 : x
  2. Step 2: Convert to fraction form
    22,652.96/31,256.42 = 13,089.42/x
  3. Step 3: Cross multiply
    22,652.96x = 31,256.42 × 13,089.42
  4. Step 4: Simplify right side
    22,652.96x = 409,128,343.63
  5. Step 5: Solve for x
    x = 409,128,343.63/22,652.96
  6. Step 6: Final answer
    x = 18,060.71

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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.