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Finding the Fourth Proportional to 13,205.84, 19,780.81 and 9,026.24

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Solution

The fourth proportional to 13,205.84, 19,780.81 and 9,026.24 is: 13,520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.84 : 19,780.81 = 9,026.24 : x
  2. Step 2: Convert to fraction form
    13,205.84/19,780.81 = 9,026.24/x
  3. Step 3: Cross multiply
    13,205.84x = 19,780.81 × 9,026.24
  4. Step 4: Simplify right side
    13,205.84x = 178,546,216.98
  5. Step 5: Solve for x
    x = 178,546,216.98/13,205.84
  6. Step 6: Final answer
    x = 13,520.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.