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Finding the Fourth Proportional to 16,276.89, 22,462.29 and 9,203.16

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Solution

The fourth proportional to 16,276.89, 22,462.29 and 9,203.16 is: 12,700.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,276.89 : 22,462.29 = 9,203.16 : x
  2. Step 2: Convert to fraction form
    16,276.89/22,462.29 = 9,203.16/x
  3. Step 3: Cross multiply
    16,276.89x = 22,462.29 × 9,203.16
  4. Step 4: Simplify right side
    16,276.89x = 206,724,048.84
  5. Step 5: Solve for x
    x = 206,724,048.84/16,276.89
  6. Step 6: Final answer
    x = 12,700.46

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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.