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Finding the Fourth Proportional to 15,196.90, 22,796.06 and 4,666.50

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Solution

The fourth proportional to 15,196.90, 22,796.06 and 4,666.50 is: 6,999.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196.90 : 22,796.06 = 4,666.50 : x
  2. Step 2: Convert to fraction form
    15,196.90/22,796.06 = 4,666.50/x
  3. Step 3: Cross multiply
    15,196.90x = 22,796.06 × 4,666.50
  4. Step 4: Simplify right side
    15,196.90x = 106,377,813.99
  5. Step 5: Solve for x
    x = 106,377,813.99/15,196.90
  6. Step 6: Final answer
    x = 6,999.97

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Why These Related Problems?

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