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Finding the Fourth Proportional to 12,988.09, 17,923.27 and 7,322.83

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Solution

The fourth proportional to 12,988.09, 17,923.27 and 7,322.83 is: 10,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,988.09 : 17,923.27 = 7,322.83 : x
  2. Step 2: Convert to fraction form
    12,988.09/17,923.27 = 7,322.83/x
  3. Step 3: Cross multiply
    12,988.09x = 17,923.27 × 7,322.83
  4. Step 4: Simplify right side
    12,988.09x = 131,249,059.25
  5. Step 5: Solve for x
    x = 131,249,059.25/12,988.09
  6. Step 6: Final answer
    x = 10,105.34

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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.