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Finding the Fourth Proportional to 21,397.70, 32,096.61 and 5,815.32

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Solution

The fourth proportional to 21,397.70, 32,096.61 and 5,815.32 is: 8,723.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,397.70 : 32,096.61 = 5,815.32 : x
  2. Step 2: Convert to fraction form
    21,397.70/32,096.61 = 5,815.32/x
  3. Step 3: Cross multiply
    21,397.70x = 32,096.61 × 5,815.32
  4. Step 4: Simplify right side
    21,397.70x = 186,652,058.07
  5. Step 5: Solve for x
    x = 186,652,058.07/21,397.70
  6. Step 6: Final answer
    x = 8,723.00

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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.