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Finding the Fourth Proportional to 14,288.16, 19,717.84 and 8,237

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Solution

The fourth proportional to 14,288.16, 19,717.84 and 8,237 is: 11,367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,288.16 : 19,717.84 = 8,237 : x
  2. Step 2: Convert to fraction form
    14,288.16/19,717.84 = 8,237/x
  3. Step 3: Cross multiply
    14,288.16x = 19,717.84 × 8,237
  4. Step 4: Simplify right side
    14,288.16x = 162,415,848.08
  5. Step 5: Solve for x
    x = 162,415,848.08/14,288.16
  6. Step 6: Final answer
    x = 11,367.16

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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.