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Finding the Fourth Proportional to 14,174.19, 19,551.78 and 8,864.64

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Solution

The fourth proportional to 14,174.19, 19,551.78 and 8,864.64 is: 12,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,174.19 : 19,551.78 = 8,864.64 : x
  2. Step 2: Convert to fraction form
    14,174.19/19,551.78 = 8,864.64/x
  3. Step 3: Cross multiply
    14,174.19x = 19,551.78 × 8,864.64
  4. Step 4: Simplify right side
    14,174.19x = 173,319,491.06
  5. Step 5: Solve for x
    x = 173,319,491.06/14,174.19
  6. Step 6: Final answer
    x = 12,227.82

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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.