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Finding the Fourth Proportional to 13,731.84, 18,948.80 and 7,763.20

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Solution

The fourth proportional to 13,731.84, 18,948.80 and 7,763.20 is: 10,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731.84 : 18,948.80 = 7,763.20 : x
  2. Step 2: Convert to fraction form
    13,731.84/18,948.80 = 7,763.20/x
  3. Step 3: Cross multiply
    13,731.84x = 18,948.80 × 7,763.20
  4. Step 4: Simplify right side
    13,731.84x = 147,103,324.16
  5. Step 5: Solve for x
    x = 147,103,324.16/13,731.84
  6. Step 6: Final answer
    x = 10,712.57

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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.