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Finding the Fourth Proportional to 15,322.34, 22,969.63 and 10,644.54

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Solution

The fourth proportional to 15,322.34, 22,969.63 and 10,644.54 is: 15,957.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,322.34 : 22,969.63 = 10,644.54 : x
  2. Step 2: Convert to fraction form
    15,322.34/22,969.63 = 10,644.54/x
  3. Step 3: Cross multiply
    15,322.34x = 22,969.63 × 10,644.54
  4. Step 4: Simplify right side
    15,322.34x = 244,501,072.49
  5. Step 5: Solve for x
    x = 244,501,072.49/15,322.34
  6. Step 6: Final answer
    x = 15,957.17

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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.