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Finding the Fourth Proportional to 14,169.50, 21,254 and 4,935.26

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Solution

The fourth proportional to 14,169.50, 21,254 and 4,935.26 is: 7,402.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,169.50 : 21,254 = 4,935.26 : x
  2. Step 2: Convert to fraction form
    14,169.50/21,254 = 4,935.26/x
  3. Step 3: Cross multiply
    14,169.50x = 21,254 × 4,935.26
  4. Step 4: Simplify right side
    14,169.50x = 104,894,016.04
  5. Step 5: Solve for x
    x = 104,894,016.04/14,169.50
  6. Step 6: Final answer
    x = 7,402.80

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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.