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Finding the Fourth Proportional to 22,301.58, 33,453.63 and 9,827.46

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Solution

The fourth proportional to 22,301.58, 33,453.63 and 9,827.46 is: 14,741.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,301.58 : 33,453.63 = 9,827.46 : x
  2. Step 2: Convert to fraction form
    22,301.58/33,453.63 = 9,827.46/x
  3. Step 3: Cross multiply
    22,301.58x = 33,453.63 × 9,827.46
  4. Step 4: Simplify right side
    22,301.58x = 328,764,210.68
  5. Step 5: Solve for x
    x = 328,764,210.68/22,301.58
  6. Step 6: Final answer
    x = 14,741.75

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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.