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Finding the Fourth Proportional to 15,781.50, 23,683.35 and 14,274.07

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Solution

The fourth proportional to 15,781.50, 23,683.35 and 14,274.07 is: 21,421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.50 : 23,683.35 = 14,274.07 : x
  2. Step 2: Convert to fraction form
    15,781.50/23,683.35 = 14,274.07/x
  3. Step 3: Cross multiply
    15,781.50x = 23,683.35 × 14,274.07
  4. Step 4: Simplify right side
    15,781.50x = 338,057,736.53
  5. Step 5: Solve for x
    x = 338,057,736.53/15,781.50
  6. Step 6: Final answer
    x = 21,421.14

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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.