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Finding the Fourth Proportional to 22,984.03, 31,712.41 and 13,418.49

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Solution

The fourth proportional to 22,984.03, 31,712.41 and 13,418.49 is: 18,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984.03 : 31,712.41 = 13,418.49 : x
  2. Step 2: Convert to fraction form
    22,984.03/31,712.41 = 13,418.49/x
  3. Step 3: Cross multiply
    22,984.03x = 31,712.41 × 13,418.49
  4. Step 4: Simplify right side
    22,984.03x = 425,532,656.46
  5. Step 5: Solve for x
    x = 425,532,656.46/22,984.03
  6. Step 6: Final answer
    x = 18,514.28

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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.