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Finding the Fourth Proportional to 20,767.86, 31,002.21 and 19,291.64

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Solution

The fourth proportional to 20,767.86, 31,002.21 and 19,291.64 is: 28,798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,767.86 : 31,002.21 = 19,291.64 : x
  2. Step 2: Convert to fraction form
    20,767.86/31,002.21 = 19,291.64/x
  3. Step 3: Cross multiply
    20,767.86x = 31,002.21 × 19,291.64
  4. Step 4: Simplify right side
    20,767.86x = 598,083,319.51
  5. Step 5: Solve for x
    x = 598,083,319.51/20,767.86
  6. Step 6: Final answer
    x = 28,798.50

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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.