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Finding the Fourth Proportional to 22,706.60, 31,334.61 and 13,146.89

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Solution

The fourth proportional to 22,706.60, 31,334.61 and 13,146.89 is: 18,142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.60 : 31,334.61 = 13,146.89 : x
  2. Step 2: Convert to fraction form
    22,706.60/31,334.61 = 13,146.89/x
  3. Step 3: Cross multiply
    22,706.60x = 31,334.61 × 13,146.89
  4. Step 4: Simplify right side
    22,706.60x = 411,952,670.86
  5. Step 5: Solve for x
    x = 411,952,670.86/22,706.60
  6. Step 6: Final answer
    x = 18,142.42

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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.