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Finding the Fourth Proportional to 22,830.88, 31,503.72 and 13,396

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Solution

The fourth proportional to 22,830.88, 31,503.72 and 13,396 is: 18,484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,830.88 : 31,503.72 = 13,396 : x
  2. Step 2: Convert to fraction form
    22,830.88/31,503.72 = 13,396/x
  3. Step 3: Cross multiply
    22,830.88x = 31,503.72 × 13,396
  4. Step 4: Simplify right side
    22,830.88x = 422,023,833.12
  5. Step 5: Solve for x
    x = 422,023,833.12/22,830.88
  6. Step 6: Final answer
    x = 18,484.78

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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.