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Finding the Fourth Proportional to 15,605.48, 21,533.90 and 9,232.31

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Solution

The fourth proportional to 15,605.48, 21,533.90 and 9,232.31 is: 12,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,605.48 : 21,533.90 = 9,232.31 : x
  2. Step 2: Convert to fraction form
    15,605.48/21,533.90 = 9,232.31/x
  3. Step 3: Cross multiply
    15,605.48x = 21,533.90 × 9,232.31
  4. Step 4: Simplify right side
    15,605.48x = 198,807,640.31
  5. Step 5: Solve for x
    x = 198,807,640.31/15,605.48
  6. Step 6: Final answer
    x = 12,739.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.