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Finding the Fourth Proportional to 12,190.02, 16,822.26 and 6,886.68

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Solution

The fourth proportional to 12,190.02, 16,822.26 and 6,886.68 is: 9,503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.02 : 16,822.26 = 6,886.68 : x
  2. Step 2: Convert to fraction form
    12,190.02/16,822.26 = 6,886.68/x
  3. Step 3: Cross multiply
    12,190.02x = 16,822.26 × 6,886.68
  4. Step 4: Simplify right side
    12,190.02x = 115,849,521.50
  5. Step 5: Solve for x
    x = 115,849,521.50/12,190.02
  6. Step 6: Final answer
    x = 9,503.64

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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.