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Finding the Fourth Proportional to 21,710.99, 32,544.14 and 9,873

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Solution

The fourth proportional to 21,710.99, 32,544.14 and 9,873 is: 14,799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.99 : 32,544.14 = 9,873 : x
  2. Step 2: Convert to fraction form
    21,710.99/32,544.14 = 9,873/x
  3. Step 3: Cross multiply
    21,710.99x = 32,544.14 × 9,873
  4. Step 4: Simplify right side
    21,710.99x = 321,308,244.86
  5. Step 5: Solve for x
    x = 321,308,244.86/21,710.99
  6. Step 6: Final answer
    x = 14,799.34

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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.