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Finding the Fourth Proportional to 15,446.73, 21,318.76 and 9,782.00

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Solution

The fourth proportional to 15,446.73, 21,318.76 and 9,782.00 is: 13,500.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,446.73 : 21,318.76 = 9,782.00 : x
  2. Step 2: Convert to fraction form
    15,446.73/21,318.76 = 9,782.00/x
  3. Step 3: Cross multiply
    15,446.73x = 21,318.76 × 9,782.00
  4. Step 4: Simplify right side
    15,446.73x = 208,540,095.90
  5. Step 5: Solve for x
    x = 208,540,095.90/15,446.73
  6. Step 6: Final answer
    x = 13,500.59

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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.