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Finding the Fourth Proportional to 12,967.80, 17,899.08 and 7,664.52

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Solution

The fourth proportional to 12,967.80, 17,899.08 and 7,664.52 is: 10,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.80 : 17,899.08 = 7,664.52 : x
  2. Step 2: Convert to fraction form
    12,967.80/17,899.08 = 7,664.52/x
  3. Step 3: Cross multiply
    12,967.80x = 17,899.08 × 7,664.52
  4. Step 4: Simplify right side
    12,967.80x = 137,187,856.64
  5. Step 5: Solve for x
    x = 137,187,856.64/12,967.80
  6. Step 6: Final answer
    x = 10,579.12

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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.