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Finding the Fourth Proportional to 21,201.86, 31,803.47 and 10,666.13

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Solution

The fourth proportional to 21,201.86, 31,803.47 and 10,666.13 is: 15,999.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201.86 : 31,803.47 = 10,666.13 : x
  2. Step 2: Convert to fraction form
    21,201.86/31,803.47 = 10,666.13/x
  3. Step 3: Cross multiply
    21,201.86x = 31,803.47 × 10,666.13
  4. Step 4: Simplify right side
    21,201.86x = 339,219,945.47
  5. Step 5: Solve for x
    x = 339,219,945.47/21,201.86
  6. Step 6: Final answer
    x = 15,999.54

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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.