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Finding the Fourth Proportional to 22,620, 31,215.60 and 13,186.74

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Solution

The fourth proportional to 22,620, 31,215.60 and 13,186.74 is: 18,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,620 : 31,215.60 = 13,186.74 : x
  2. Step 2: Convert to fraction form
    22,620/31,215.60 = 13,186.74/x
  3. Step 3: Cross multiply
    22,620x = 31,215.60 × 13,186.74
  4. Step 4: Simplify right side
    22,620x = 411,632,001.14
  5. Step 5: Solve for x
    x = 411,632,001.14/22,620
  6. Step 6: Final answer
    x = 18,197.70

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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.