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Finding the Fourth Proportional to 22,773.96, 31,423.55 and 13,821.84

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Solution

The fourth proportional to 22,773.96, 31,423.55 and 13,821.84 is: 19,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773.96 : 31,423.55 = 13,821.84 : x
  2. Step 2: Convert to fraction form
    22,773.96/31,423.55 = 13,821.84/x
  3. Step 3: Cross multiply
    22,773.96x = 31,423.55 × 13,821.84
  4. Step 4: Simplify right side
    22,773.96x = 434,331,211.22
  5. Step 5: Solve for x
    x = 434,331,211.22/22,773.96
  6. Step 6: Final answer
    x = 19,071.40

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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.