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Finding the Fourth Proportional to 21,622.93, 32,434.39 and 9,139.57

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Solution

The fourth proportional to 21,622.93, 32,434.39 and 9,139.57 is: 13,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,622.93 : 32,434.39 = 9,139.57 : x
  2. Step 2: Convert to fraction form
    21,622.93/32,434.39 = 9,139.57/x
  3. Step 3: Cross multiply
    21,622.93x = 32,434.39 × 9,139.57
  4. Step 4: Simplify right side
    21,622.93x = 296,436,377.81
  5. Step 5: Solve for x
    x = 296,436,377.81/21,622.93
  6. Step 6: Final answer
    x = 13,709.35

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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.