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Finding the Fourth Proportional to 21,895.74, 32,843.88 and 6,313.50

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Solution

The fourth proportional to 21,895.74, 32,843.88 and 6,313.50 is: 9,470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,895.74 : 32,843.88 = 6,313.50 : x
  2. Step 2: Convert to fraction form
    21,895.74/32,843.88 = 6,313.50/x
  3. Step 3: Cross multiply
    21,895.74x = 32,843.88 × 6,313.50
  4. Step 4: Simplify right side
    21,895.74x = 207,359,836.38
  5. Step 5: Solve for x
    x = 207,359,836.38/21,895.74
  6. Step 6: Final answer
    x = 9,470.33

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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.