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Finding the Fourth Proportional to 20,670.84, 31,001.13 and 8,186.58

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Solution

The fourth proportional to 20,670.84, 31,001.13 and 8,186.58 is: 12,277.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,670.84 : 31,001.13 = 8,186.58 : x
  2. Step 2: Convert to fraction form
    20,670.84/31,001.13 = 8,186.58/x
  3. Step 3: Cross multiply
    20,670.84x = 31,001.13 × 8,186.58
  4. Step 4: Simplify right side
    20,670.84x = 253,793,230.84
  5. Step 5: Solve for x
    x = 253,793,230.84/20,670.84
  6. Step 6: Final answer
    x = 12,277.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.