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Finding the Fourth Proportional to 16,434.14, 22,678.94 and 9,266.36

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Solution

The fourth proportional to 16,434.14, 22,678.94 and 9,266.36 is: 12,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434.14 : 22,678.94 = 9,266.36 : x
  2. Step 2: Convert to fraction form
    16,434.14/22,678.94 = 9,266.36/x
  3. Step 3: Cross multiply
    16,434.14x = 22,678.94 × 9,266.36
  4. Step 4: Simplify right side
    16,434.14x = 210,151,222.46
  5. Step 5: Solve for x
    x = 210,151,222.46/16,434.14
  6. Step 6: Final answer
    x = 12,787.48

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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.