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Finding the Fourth Proportional to 12,322.68, 17,004.66 and 7,017.48

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Solution

The fourth proportional to 12,322.68, 17,004.66 and 7,017.48 is: 9,683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.68 : 17,004.66 = 7,017.48 : x
  2. Step 2: Convert to fraction form
    12,322.68/17,004.66 = 7,017.48/x
  3. Step 3: Cross multiply
    12,322.68x = 17,004.66 × 7,017.48
  4. Step 4: Simplify right side
    12,322.68x = 119,329,861.46
  5. Step 5: Solve for x
    x = 119,329,861.46/12,322.68
  6. Step 6: Final answer
    x = 9,683.76

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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.