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Finding the Fourth Proportional to 12,465.48, 18,654.33 and 7,787.69

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Solution

The fourth proportional to 12,465.48, 18,654.33 and 7,787.69 is: 11,654.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.48 : 18,654.33 = 7,787.69 : x
  2. Step 2: Convert to fraction form
    12,465.48/18,654.33 = 7,787.69/x
  3. Step 3: Cross multiply
    12,465.48x = 18,654.33 × 7,787.69
  4. Step 4: Simplify right side
    12,465.48x = 145,274,206.21
  5. Step 5: Solve for x
    x = 145,274,206.21/12,465.48
  6. Step 6: Final answer
    x = 11,654.12

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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.