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Finding the Fourth Proportional to 21,123.69, 31,703.72 and 10,999.23

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Solution

The fourth proportional to 21,123.69, 31,703.72 and 10,999.23 is: 16,508.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,123.69 : 31,703.72 = 10,999.23 : x
  2. Step 2: Convert to fraction form
    21,123.69/31,703.72 = 10,999.23/x
  3. Step 3: Cross multiply
    21,123.69x = 31,703.72 × 10,999.23
  4. Step 4: Simplify right side
    21,123.69x = 348,716,453.14
  5. Step 5: Solve for x
    x = 348,716,453.14/21,123.69
  6. Step 6: Final answer
    x = 16,508.31

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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.