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Finding the Fourth Proportional to 22,501.67, 33,733.37 and 13,742.74

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Solution

The fourth proportional to 22,501.67, 33,733.37 and 13,742.74 is: 20,602.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,501.67 : 33,733.37 = 13,742.74 : x
  2. Step 2: Convert to fraction form
    22,501.67/33,733.37 = 13,742.74/x
  3. Step 3: Cross multiply
    22,501.67x = 33,733.37 × 13,742.74
  4. Step 4: Simplify right side
    22,501.67x = 463,588,933.23
  5. Step 5: Solve for x
    x = 463,588,933.23/22,501.67
  6. Step 6: Final answer
    x = 20,602.42

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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.