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Finding the Fourth Proportional to 21,417.99, 32,126.97 and 9,723

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Solution

The fourth proportional to 21,417.99, 32,126.97 and 9,723 is: 14,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,417.99 : 32,126.97 = 9,723 : x
  2. Step 2: Convert to fraction form
    21,417.99/32,126.97 = 9,723/x
  3. Step 3: Cross multiply
    21,417.99x = 32,126.97 × 9,723
  4. Step 4: Simplify right side
    21,417.99x = 312,370,529.31
  5. Step 5: Solve for x
    x = 312,370,529.31/21,417.99
  6. Step 6: Final answer
    x = 14,584.49

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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.