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Finding the Fourth Proportional to 11,895.64, 16,425.30 and 9,548.26

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Solution

The fourth proportional to 11,895.64, 16,425.30 and 9,548.26 is: 13,184.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.64 : 16,425.30 = 9,548.26 : x
  2. Step 2: Convert to fraction form
    11,895.64/16,425.30 = 9,548.26/x
  3. Step 3: Cross multiply
    11,895.64x = 16,425.30 × 9,548.26
  4. Step 4: Simplify right side
    11,895.64x = 156,833,034.98
  5. Step 5: Solve for x
    x = 156,833,034.98/11,895.64
  6. Step 6: Final answer
    x = 13,184.08

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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.