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Finding the Fourth Proportional to 20,493.86, 30,570.98 and 19,889.60

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Solution

The fourth proportional to 20,493.86, 30,570.98 and 19,889.60 is: 29,669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,493.86 : 30,570.98 = 19,889.60 : x
  2. Step 2: Convert to fraction form
    20,493.86/30,570.98 = 19,889.60/x
  3. Step 3: Cross multiply
    20,493.86x = 30,570.98 × 19,889.60
  4. Step 4: Simplify right side
    20,493.86x = 608,044,311.51
  5. Step 5: Solve for x
    x = 608,044,311.51/20,493.86
  6. Step 6: Final answer
    x = 29,669.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.