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Finding the Fourth Proportional to 10,295.66, 14,123.44 and 10,021.88

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Solution

The fourth proportional to 10,295.66, 14,123.44 and 10,021.88 is: 13,747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.66 : 14,123.44 = 10,021.88 : x
  2. Step 2: Convert to fraction form
    10,295.66/14,123.44 = 10,021.88/x
  3. Step 3: Cross multiply
    10,295.66x = 14,123.44 × 10,021.88
  4. Step 4: Simplify right side
    10,295.66x = 141,543,420.87
  5. Step 5: Solve for x
    x = 141,543,420.87/10,295.66
  6. Step 6: Final answer
    x = 13,747.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.