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Finding the Fourth Proportional to 12,258.42, 16,911.54 and 8,008.02

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Solution

The fourth proportional to 12,258.42, 16,911.54 and 8,008.02 is: 11,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,258.42 : 16,911.54 = 8,008.02 : x
  2. Step 2: Convert to fraction form
    12,258.42/16,911.54 = 8,008.02/x
  3. Step 3: Cross multiply
    12,258.42x = 16,911.54 × 8,008.02
  4. Step 4: Simplify right side
    12,258.42x = 135,427,950.55
  5. Step 5: Solve for x
    x = 135,427,950.55/12,258.42
  6. Step 6: Final answer
    x = 11,047.75

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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.