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Finding the Fourth Proportional to 12,146.22, 16,741.62 and 9,623.88

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Solution

The fourth proportional to 12,146.22, 16,741.62 and 9,623.88 is: 13,264.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.22 : 16,741.62 = 9,623.88 : x
  2. Step 2: Convert to fraction form
    12,146.22/16,741.62 = 9,623.88/x
  3. Step 3: Cross multiply
    12,146.22x = 16,741.62 × 9,623.88
  4. Step 4: Simplify right side
    12,146.22x = 161,119,341.89
  5. Step 5: Solve for x
    x = 161,119,341.89/12,146.22
  6. Step 6: Final answer
    x = 13,264.98

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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.