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Finding the Fourth Proportional to 12,298.64, 16,970.61 and 7,759.61

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Solution

The fourth proportional to 12,298.64, 16,970.61 and 7,759.61 is: 10,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.64 : 16,970.61 = 7,759.61 : x
  2. Step 2: Convert to fraction form
    12,298.64/16,970.61 = 7,759.61/x
  3. Step 3: Cross multiply
    12,298.64x = 16,970.61 × 7,759.61
  4. Step 4: Simplify right side
    12,298.64x = 131,685,230.21
  5. Step 5: Solve for x
    x = 131,685,230.21/12,298.64
  6. Step 6: Final answer
    x = 10,707.30

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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.