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Finding the Fourth Proportional to 22,523.68, 31,085.40 and 14,138.56

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Solution

The fourth proportional to 22,523.68, 31,085.40 and 14,138.56 is: 19,512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.68 : 31,085.40 = 14,138.56 : x
  2. Step 2: Convert to fraction form
    22,523.68/31,085.40 = 14,138.56/x
  3. Step 3: Cross multiply
    22,523.68x = 31,085.40 × 14,138.56
  4. Step 4: Simplify right side
    22,523.68x = 439,502,793.02
  5. Step 5: Solve for x
    x = 439,502,793.02/22,523.68
  6. Step 6: Final answer
    x = 19,512.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.