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Finding the Fourth Proportional to 20,571.78, 28,374.42 and 14,200.80

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Solution

The fourth proportional to 20,571.78, 28,374.42 and 14,200.80 is: 19,587.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,571.78 : 28,374.42 = 14,200.80 : x
  2. Step 2: Convert to fraction form
    20,571.78/28,374.42 = 14,200.80/x
  3. Step 3: Cross multiply
    20,571.78x = 28,374.42 × 14,200.80
  4. Step 4: Simplify right side
    20,571.78x = 402,939,463.54
  5. Step 5: Solve for x
    x = 402,939,463.54/20,571.78
  6. Step 6: Final answer
    x = 19,587.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.