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Finding the Fourth Proportional to 12,678.44, 17,471.58 and 9,134.96

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Solution

The fourth proportional to 12,678.44, 17,471.58 and 9,134.96 is: 12,588.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.44 : 17,471.58 = 9,134.96 : x
  2. Step 2: Convert to fraction form
    12,678.44/17,471.58 = 9,134.96/x
  3. Step 3: Cross multiply
    12,678.44x = 17,471.58 × 9,134.96
  4. Step 4: Simplify right side
    12,678.44x = 159,602,184.44
  5. Step 5: Solve for x
    x = 159,602,184.44/12,678.44
  6. Step 6: Final answer
    x = 12,588.47

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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.