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Finding the Fourth Proportional to 21,693.36, 32,538.32 and 6,901.68

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Solution

The fourth proportional to 21,693.36, 32,538.32 and 6,901.68 is: 10,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,693.36 : 32,538.32 = 6,901.68 : x
  2. Step 2: Convert to fraction form
    21,693.36/32,538.32 = 6,901.68/x
  3. Step 3: Cross multiply
    21,693.36x = 32,538.32 × 6,901.68
  4. Step 4: Simplify right side
    21,693.36x = 224,569,072.38
  5. Step 5: Solve for x
    x = 224,569,072.38/21,693.36
  6. Step 6: Final answer
    x = 10,351.97

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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.