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Finding the Fourth Proportional to 14,365.50, 21,548.28 and 3,977.28

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Solution

The fourth proportional to 14,365.50, 21,548.28 and 3,977.28 is: 5,965.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,365.50 : 21,548.28 = 3,977.28 : x
  2. Step 2: Convert to fraction form
    14,365.50/21,548.28 = 3,977.28/x
  3. Step 3: Cross multiply
    14,365.50x = 21,548.28 × 3,977.28
  4. Step 4: Simplify right side
    14,365.50x = 85,703,543.08
  5. Step 5: Solve for x
    x = 85,703,543.08/14,365.50
  6. Step 6: Final answer
    x = 5,965.93

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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.