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Finding the Fourth Proportional to 21,661.98, 32,498.64 and 9,182.58

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Solution

The fourth proportional to 21,661.98, 32,498.64 and 9,182.58 is: 13,776.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,661.98 : 32,498.64 = 9,182.58 : x
  2. Step 2: Convert to fraction form
    21,661.98/32,498.64 = 9,182.58/x
  3. Step 3: Cross multiply
    21,661.98x = 32,498.64 × 9,182.58
  4. Step 4: Simplify right side
    21,661.98x = 298,421,361.69
  5. Step 5: Solve for x
    x = 298,421,361.69/21,661.98
  6. Step 6: Final answer
    x = 13,776.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.