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Finding the Fourth Proportional to 12,298.59, 16,970.54 and 7,759.56

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Solution

The fourth proportional to 12,298.59, 16,970.54 and 7,759.56 is: 10,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.59 : 16,970.54 = 7,759.56 : x
  2. Step 2: Convert to fraction form
    12,298.59/16,970.54 = 7,759.56/x
  3. Step 3: Cross multiply
    12,298.59x = 16,970.54 × 7,759.56
  4. Step 4: Simplify right side
    12,298.59x = 131,683,884.56
  5. Step 5: Solve for x
    x = 131,683,884.56/12,298.59
  6. Step 6: Final answer
    x = 10,707.23

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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.