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Finding the Fourth Proportional to 13,625.12, 20,411.76 and 7,763.96

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Solution

The fourth proportional to 13,625.12, 20,411.76 and 7,763.96 is: 11,631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,625.12 : 20,411.76 = 7,763.96 : x
  2. Step 2: Convert to fraction form
    13,625.12/20,411.76 = 7,763.96/x
  3. Step 3: Cross multiply
    13,625.12x = 20,411.76 × 7,763.96
  4. Step 4: Simplify right side
    13,625.12x = 158,476,088.17
  5. Step 5: Solve for x
    x = 158,476,088.17/13,625.12
  6. Step 6: Final answer
    x = 11,631.17

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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.