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Finding the Fourth Proportional to 12,006.79, 16,567.73 and 6,970.21

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Solution

The fourth proportional to 12,006.79, 16,567.73 and 6,970.21 is: 9,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.79 : 16,567.73 = 6,970.21 : x
  2. Step 2: Convert to fraction form
    12,006.79/16,567.73 = 6,970.21/x
  3. Step 3: Cross multiply
    12,006.79x = 16,567.73 × 6,970.21
  4. Step 4: Simplify right side
    12,006.79x = 115,480,557.32
  5. Step 5: Solve for x
    x = 115,480,557.32/12,006.79
  6. Step 6: Final answer
    x = 9,617.94

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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.