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Finding the Fourth Proportional to 16,437.42, 22,682.34 and 9,721.80

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Solution

The fourth proportional to 16,437.42, 22,682.34 and 9,721.80 is: 13,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,437.42 : 22,682.34 = 9,721.80 : x
  2. Step 2: Convert to fraction form
    16,437.42/22,682.34 = 9,721.80/x
  3. Step 3: Cross multiply
    16,437.42x = 22,682.34 × 9,721.80
  4. Step 4: Simplify right side
    16,437.42x = 220,513,173.01
  5. Step 5: Solve for x
    x = 220,513,173.01/16,437.42
  6. Step 6: Final answer
    x = 13,415.32

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