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Finding the Fourth Proportional to 16,476.34, 22,735.64 and 9,305.63

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Solution

The fourth proportional to 16,476.34, 22,735.64 and 9,305.63 is: 12,840.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,476.34 : 22,735.64 = 9,305.63 : x
  2. Step 2: Convert to fraction form
    16,476.34/22,735.64 = 9,305.63/x
  3. Step 3: Cross multiply
    16,476.34x = 22,735.64 × 9,305.63
  4. Step 4: Simplify right side
    16,476.34x = 211,569,407.13
  5. Step 5: Solve for x
    x = 211,569,407.13/16,476.34
  6. Step 6: Final answer
    x = 12,840.81

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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.