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Finding the Fourth Proportional to 12,444.66, 17,114.76 and 9,896.81

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Solution

The fourth proportional to 12,444.66, 17,114.76 and 9,896.81 is: 13,610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,444.66 : 17,114.76 = 9,896.81 : x
  2. Step 2: Convert to fraction form
    12,444.66/17,114.76 = 9,896.81/x
  3. Step 3: Cross multiply
    12,444.66x = 17,114.76 × 9,896.81
  4. Step 4: Simplify right side
    12,444.66x = 169,381,442.34
  5. Step 5: Solve for x
    x = 169,381,442.34/12,444.66
  6. Step 6: Final answer
    x = 13,610.77

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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.