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Finding the Fourth Proportional to 13,571.60, 20,345.85 and 6,173.46

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Solution

The fourth proportional to 13,571.60, 20,345.85 and 6,173.46 is: 9,254.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,571.60 : 20,345.85 = 6,173.46 : x
  2. Step 2: Convert to fraction form
    13,571.60/20,345.85 = 6,173.46/x
  3. Step 3: Cross multiply
    13,571.60x = 20,345.85 × 6,173.46
  4. Step 4: Simplify right side
    13,571.60x = 125,604,291.14
  5. Step 5: Solve for x
    x = 125,604,291.14/13,571.60
  6. Step 6: Final answer
    x = 9,254.94

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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.