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Finding the Fourth Proportional to 22,347.66, 33,533.10 and 9,023.93

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Solution

The fourth proportional to 22,347.66, 33,533.10 and 9,023.93 is: 13,540.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,347.66 : 33,533.10 = 9,023.93 : x
  2. Step 2: Convert to fraction form
    22,347.66/33,533.10 = 9,023.93/x
  3. Step 3: Cross multiply
    22,347.66x = 33,533.10 × 9,023.93
  4. Step 4: Simplify right side
    22,347.66x = 302,600,179.42
  5. Step 5: Solve for x
    x = 302,600,179.42/22,347.66
  6. Step 6: Final answer
    x = 13,540.58

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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.