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Finding the Fourth Proportional to 12,465.84, 18,671.96 and 5,882.16

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Solution

The fourth proportional to 12,465.84, 18,671.96 and 5,882.16 is: 8,810.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.84 : 18,671.96 = 5,882.16 : x
  2. Step 2: Convert to fraction form
    12,465.84/18,671.96 = 5,882.16/x
  3. Step 3: Cross multiply
    12,465.84x = 18,671.96 × 5,882.16
  4. Step 4: Simplify right side
    12,465.84x = 109,831,456.23
  5. Step 5: Solve for x
    x = 109,831,456.23/12,465.84
  6. Step 6: Final answer
    x = 8,810.59

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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.