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Finding the Fourth Proportional to 13,374.50, 20,061.75 and 4,140.50

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Solution

The fourth proportional to 13,374.50, 20,061.75 and 4,140.50 is: 6,210.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.50 : 20,061.75 = 4,140.50 : x
  2. Step 2: Convert to fraction form
    13,374.50/20,061.75 = 4,140.50/x
  3. Step 3: Cross multiply
    13,374.50x = 20,061.75 × 4,140.50
  4. Step 4: Simplify right side
    13,374.50x = 83,065,675.88
  5. Step 5: Solve for x
    x = 83,065,675.88/13,374.50
  6. Step 6: Final answer
    x = 6,210.75

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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.