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Finding the Fourth Proportional to 21,640.34, 32,458.08 and 6,059.18

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Solution

The fourth proportional to 21,640.34, 32,458.08 and 6,059.18 is: 9,088.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,640.34 : 32,458.08 = 6,059.18 : x
  2. Step 2: Convert to fraction form
    21,640.34/32,458.08 = 6,059.18/x
  3. Step 3: Cross multiply
    21,640.34x = 32,458.08 × 6,059.18
  4. Step 4: Simplify right side
    21,640.34x = 196,669,349.17
  5. Step 5: Solve for x
    x = 196,669,349.17/21,640.34
  6. Step 6: Final answer
    x = 9,088.09

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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.