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Finding the Fourth Proportional to 14,242.50, 21,363.84 and 3,854.34

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Solution

The fourth proportional to 14,242.50, 21,363.84 and 3,854.34 is: 5,781.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.50 : 21,363.84 = 3,854.34 : x
  2. Step 2: Convert to fraction form
    14,242.50/21,363.84 = 3,854.34/x
  3. Step 3: Cross multiply
    14,242.50x = 21,363.84 × 3,854.34
  4. Step 4: Simplify right side
    14,242.50x = 82,343,503.07
  5. Step 5: Solve for x
    x = 82,343,503.07/14,242.50
  6. Step 6: Final answer
    x = 5,781.53

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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.