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Finding the Fourth Proportional to 19,005.50, 26,228.40 and 10,622

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Solution

The fourth proportional to 19,005.50, 26,228.40 and 10,622 is: 14,658.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,005.50 : 26,228.40 = 10,622 : x
  2. Step 2: Convert to fraction form
    19,005.50/26,228.40 = 10,622/x
  3. Step 3: Cross multiply
    19,005.50x = 26,228.40 × 10,622
  4. Step 4: Simplify right side
    19,005.50x = 278,598,064.80
  5. Step 5: Solve for x
    x = 278,598,064.80/19,005.50
  6. Step 6: Final answer
    x = 14,658.81

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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.