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Finding the Fourth Proportional to 12,138.96, 16,750.56 and 7,102.92

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Solution

The fourth proportional to 12,138.96, 16,750.56 and 7,102.92 is: 9,801.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.96 : 16,750.56 = 7,102.92 : x
  2. Step 2: Convert to fraction form
    12,138.96/16,750.56 = 7,102.92/x
  3. Step 3: Cross multiply
    12,138.96x = 16,750.56 × 7,102.92
  4. Step 4: Simplify right side
    12,138.96x = 118,977,887.64
  5. Step 5: Solve for x
    x = 118,977,887.64/12,138.96
  6. Step 6: Final answer
    x = 9,801.32

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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.