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Finding the Fourth Proportional to 12,008, 16,569.39 and 6,971.42

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Solution

The fourth proportional to 12,008, 16,569.39 and 6,971.42 is: 9,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008 : 16,569.39 = 6,971.42 : x
  2. Step 2: Convert to fraction form
    12,008/16,569.39 = 6,971.42/x
  3. Step 3: Cross multiply
    12,008x = 16,569.39 × 6,971.42
  4. Step 4: Simplify right side
    12,008x = 115,512,176.83
  5. Step 5: Solve for x
    x = 115,512,176.83/12,008
  6. Step 6: Final answer
    x = 9,619.60

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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.