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Finding the Fourth Proportional to 13,557.53, 20,334.93 and 6,160

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Solution

The fourth proportional to 13,557.53, 20,334.93 and 6,160 is: 9,239.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,557.53 : 20,334.93 = 6,160 : x
  2. Step 2: Convert to fraction form
    13,557.53/20,334.93 = 6,160/x
  3. Step 3: Cross multiply
    13,557.53x = 20,334.93 × 6,160
  4. Step 4: Simplify right side
    13,557.53x = 125,263,168.80
  5. Step 5: Solve for x
    x = 125,263,168.80/13,557.53
  6. Step 6: Final answer
    x = 9,239.38

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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.