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Finding the Fourth Proportional to 15,762.82, 21,753.62 and 9,048.46

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Solution

The fourth proportional to 15,762.82, 21,753.62 and 9,048.46 is: 12,487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.82 : 21,753.62 = 9,048.46 : x
  2. Step 2: Convert to fraction form
    15,762.82/21,753.62 = 9,048.46/x
  3. Step 3: Cross multiply
    15,762.82x = 21,753.62 × 9,048.46
  4. Step 4: Simplify right side
    15,762.82x = 196,836,760.43
  5. Step 5: Solve for x
    x = 196,836,760.43/15,762.82
  6. Step 6: Final answer
    x = 12,487.41

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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.