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Finding the Fourth Proportional to 14,794.72, 22,196.48 and 7,864

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Solution

The fourth proportional to 14,794.72, 22,196.48 and 7,864 is: 11,798.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,794.72 : 22,196.48 = 7,864 : x
  2. Step 2: Convert to fraction form
    14,794.72/22,196.48 = 7,864/x
  3. Step 3: Cross multiply
    14,794.72x = 22,196.48 × 7,864
  4. Step 4: Simplify right side
    14,794.72x = 174,553,118.72
  5. Step 5: Solve for x
    x = 174,553,118.72/14,794.72
  6. Step 6: Final answer
    x = 11,798.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.