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Finding the Fourth Proportional to 12,017.54, 16,560.57 and 9,188.11

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Solution

The fourth proportional to 12,017.54, 16,560.57 and 9,188.11 is: 12,661.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,017.54 : 16,560.57 = 9,188.11 : x
  2. Step 2: Convert to fraction form
    12,017.54/16,560.57 = 9,188.11/x
  3. Step 3: Cross multiply
    12,017.54x = 16,560.57 × 9,188.11
  4. Step 4: Simplify right side
    12,017.54x = 152,160,297.42
  5. Step 5: Solve for x
    x = 152,160,297.42/12,017.54
  6. Step 6: Final answer
    x = 12,661.52

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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.