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Finding the Fourth Proportional to 15,873.66, 23,813.82 and 4,781.16

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Solution

The fourth proportional to 15,873.66, 23,813.82 and 4,781.16 is: 7,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,873.66 : 23,813.82 = 4,781.16 : x
  2. Step 2: Convert to fraction form
    15,873.66/23,813.82 = 4,781.16/x
  3. Step 3: Cross multiply
    15,873.66x = 23,813.82 × 4,781.16
  4. Step 4: Simplify right side
    15,873.66x = 113,857,683.63
  5. Step 5: Solve for x
    x = 113,857,683.63/15,873.66
  6. Step 6: Final answer
    x = 7,172.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.