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Finding the Fourth Proportional to 12,397.08, 17,096.22 and 9,887.40

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Solution

The fourth proportional to 12,397.08, 17,096.22 and 9,887.40 is: 13,635.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.08 : 17,096.22 = 9,887.40 : x
  2. Step 2: Convert to fraction form
    12,397.08/17,096.22 = 9,887.40/x
  3. Step 3: Cross multiply
    12,397.08x = 17,096.22 × 9,887.40
  4. Step 4: Simplify right side
    12,397.08x = 169,037,165.63
  5. Step 5: Solve for x
    x = 169,037,165.63/12,397.08
  6. Step 6: Final answer
    x = 13,635.24

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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.