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Finding the Fourth Proportional to 12,146.14, 16,772.23 and 9,341.31

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Solution

The fourth proportional to 12,146.14, 16,772.23 and 9,341.31 is: 12,899.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.14 : 16,772.23 = 9,341.31 : x
  2. Step 2: Convert to fraction form
    12,146.14/16,772.23 = 9,341.31/x
  3. Step 3: Cross multiply
    12,146.14x = 16,772.23 × 9,341.31
  4. Step 4: Simplify right side
    12,146.14x = 156,674,599.82
  5. Step 5: Solve for x
    x = 156,674,599.82/12,146.14
  6. Step 6: Final answer
    x = 12,899.13

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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.