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Finding the Fourth Proportional to 14,701.70, 20,288.26 and 7,987.27

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Solution

The fourth proportional to 14,701.70, 20,288.26 and 7,987.27 is: 11,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.70 : 20,288.26 = 7,987.27 : x
  2. Step 2: Convert to fraction form
    14,701.70/20,288.26 = 7,987.27/x
  3. Step 3: Cross multiply
    14,701.70x = 20,288.26 × 7,987.27
  4. Step 4: Simplify right side
    14,701.70x = 162,047,810.45
  5. Step 5: Solve for x
    x = 162,047,810.45/14,701.70
  6. Step 6: Final answer
    x = 11,022.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.