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Finding the Fourth Proportional to 13,731.55, 18,948.78 and 7,762.84

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Solution

The fourth proportional to 13,731.55, 18,948.78 and 7,762.84 is: 10,712.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731.55 : 18,948.78 = 7,762.84 : x
  2. Step 2: Convert to fraction form
    13,731.55/18,948.78 = 7,762.84/x
  3. Step 3: Cross multiply
    13,731.55x = 18,948.78 × 7,762.84
  4. Step 4: Simplify right side
    13,731.55x = 147,096,347.34
  5. Step 5: Solve for x
    x = 147,096,347.34/13,731.55
  6. Step 6: Final answer
    x = 10,712.29

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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.