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Finding the Fourth Proportional to 12,006.29, 16,567.04 and 6,969.71

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Solution

The fourth proportional to 12,006.29, 16,567.04 and 6,969.71 is: 9,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.29 : 16,567.04 = 6,969.71 : x
  2. Step 2: Convert to fraction form
    12,006.29/16,567.04 = 6,969.71/x
  3. Step 3: Cross multiply
    12,006.29x = 16,567.04 × 6,969.71
  4. Step 4: Simplify right side
    12,006.29x = 115,467,381.52
  5. Step 5: Solve for x
    x = 115,467,381.52/12,006.29
  6. Step 6: Final answer
    x = 9,617.24

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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.