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Finding the Fourth Proportional to 12,225.75, 16,871.90 and 6,637.11

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Solution

The fourth proportional to 12,225.75, 16,871.90 and 6,637.11 is: 9,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.75 : 16,871.90 = 6,637.11 : x
  2. Step 2: Convert to fraction form
    12,225.75/16,871.90 = 6,637.11/x
  3. Step 3: Cross multiply
    12,225.75x = 16,871.90 × 6,637.11
  4. Step 4: Simplify right side
    12,225.75x = 111,980,623.02
  5. Step 5: Solve for x
    x = 111,980,623.02/12,225.75
  6. Step 6: Final answer
    x = 9,159.41

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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.