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Finding the Fourth Proportional to 12,190.47, 16,822.80 and 6,885.20

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Solution

The fourth proportional to 12,190.47, 16,822.80 and 6,885.20 is: 9,501.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.47 : 16,822.80 = 6,885.20 : x
  2. Step 2: Convert to fraction form
    12,190.47/16,822.80 = 6,885.20/x
  3. Step 3: Cross multiply
    12,190.47x = 16,822.80 × 6,885.20
  4. Step 4: Simplify right side
    12,190.47x = 115,828,258.45
  5. Step 5: Solve for x
    x = 115,828,258.45/12,190.47
  6. Step 6: Final answer
    x = 9,501.54

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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.