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Finding the Fourth Proportional to 14,549.68, 21,805.08 and 6,741.28

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Solution

The fourth proportional to 14,549.68, 21,805.08 and 6,741.28 is: 10,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.68 : 21,805.08 = 6,741.28 : x
  2. Step 2: Convert to fraction form
    14,549.68/21,805.08 = 6,741.28/x
  3. Step 3: Cross multiply
    14,549.68x = 21,805.08 × 6,741.28
  4. Step 4: Simplify right side
    14,549.68x = 146,994,149.70
  5. Step 5: Solve for x
    x = 146,994,149.70/14,549.68
  6. Step 6: Final answer
    x = 10,102.91

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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.