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Finding the Fourth Proportional to 21,313.69, 31,948.24 and 7,268.80

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Solution

The fourth proportional to 21,313.69, 31,948.24 and 7,268.80 is: 10,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,313.69 : 31,948.24 = 7,268.80 : x
  2. Step 2: Convert to fraction form
    21,313.69/31,948.24 = 7,268.80/x
  3. Step 3: Cross multiply
    21,313.69x = 31,948.24 × 7,268.80
  4. Step 4: Simplify right side
    21,313.69x = 232,225,366.91
  5. Step 5: Solve for x
    x = 232,225,366.91/21,313.69
  6. Step 6: Final answer
    x = 10,895.60

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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.