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Finding the Fourth Proportional to 22,683.34, 34,031.92 and 11,597.81

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Solution

The fourth proportional to 22,683.34, 34,031.92 and 11,597.81 is: 17,400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,683.34 : 34,031.92 = 11,597.81 : x
  2. Step 2: Convert to fraction form
    22,683.34/34,031.92 = 11,597.81/x
  3. Step 3: Cross multiply
    22,683.34x = 34,031.92 × 11,597.81
  4. Step 4: Simplify right side
    22,683.34x = 394,695,742.10
  5. Step 5: Solve for x
    x = 394,695,742.10/22,683.34
  6. Step 6: Final answer
    x = 17,400.25

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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.