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Finding the Fourth Proportional to 11,672.64, 16,058.88 and 10,173.12

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Solution

The fourth proportional to 11,672.64, 16,058.88 and 10,173.12 is: 13,995.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.64 : 16,058.88 = 10,173.12 : x
  2. Step 2: Convert to fraction form
    11,672.64/16,058.88 = 10,173.12/x
  3. Step 3: Cross multiply
    11,672.64x = 16,058.88 × 10,173.12
  4. Step 4: Simplify right side
    11,672.64x = 163,368,913.31
  5. Step 5: Solve for x
    x = 163,368,913.31/11,672.64
  6. Step 6: Final answer
    x = 13,995.88

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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.