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Finding the Fourth Proportional to 12,140.99, 16,746.16 and 7,427.60

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Solution

The fourth proportional to 12,140.99, 16,746.16 and 7,427.60 is: 10,244.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.99 : 16,746.16 = 7,427.60 : x
  2. Step 2: Convert to fraction form
    12,140.99/16,746.16 = 7,427.60/x
  3. Step 3: Cross multiply
    12,140.99x = 16,746.16 × 7,427.60
  4. Step 4: Simplify right side
    12,140.99x = 124,383,778.02
  5. Step 5: Solve for x
    x = 124,383,778.02/12,140.99
  6. Step 6: Final answer
    x = 10,244.95

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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.