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Finding the Fourth Proportional to 12,001.71, 16,563.23 and 6,968.84

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Solution

The fourth proportional to 12,001.71, 16,563.23 and 6,968.84 is: 9,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,001.71 : 16,563.23 = 6,968.84 : x
  2. Step 2: Convert to fraction form
    12,001.71/16,563.23 = 6,968.84/x
  3. Step 3: Cross multiply
    12,001.71x = 16,563.23 × 6,968.84
  4. Step 4: Simplify right side
    12,001.71x = 115,426,499.75
  5. Step 5: Solve for x
    x = 115,426,499.75/12,001.71
  6. Step 6: Final answer
    x = 9,617.50

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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.