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Finding the Fourth Proportional to 13,026.50, 17,975.64 and 7,990.92

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Solution

The fourth proportional to 13,026.50, 17,975.64 and 7,990.92 is: 11,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.50 : 17,975.64 = 7,990.92 : x
  2. Step 2: Convert to fraction form
    13,026.50/17,975.64 = 7,990.92/x
  3. Step 3: Cross multiply
    13,026.50x = 17,975.64 × 7,990.92
  4. Step 4: Simplify right side
    13,026.50x = 143,641,901.19
  5. Step 5: Solve for x
    x = 143,641,901.19/13,026.50
  6. Step 6: Final answer
    x = 11,026.90

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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.