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Finding the Fourth Proportional to 12,347.08, 17,018.58 and 9,202.12

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Solution

The fourth proportional to 12,347.08, 17,018.58 and 9,202.12 is: 12,683.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.08 : 17,018.58 = 9,202.12 : x
  2. Step 2: Convert to fraction form
    12,347.08/17,018.58 = 9,202.12/x
  3. Step 3: Cross multiply
    12,347.08x = 17,018.58 × 9,202.12
  4. Step 4: Simplify right side
    12,347.08x = 156,607,015.39
  5. Step 5: Solve for x
    x = 156,607,015.39/12,347.08
  6. Step 6: Final answer
    x = 12,683.73

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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.