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Finding the Fourth Proportional to 13,153.53, 19,722.42 and 6,135.13

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Solution

The fourth proportional to 13,153.53, 19,722.42 and 6,135.13 is: 9,199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.53 : 19,722.42 = 6,135.13 : x
  2. Step 2: Convert to fraction form
    13,153.53/19,722.42 = 6,135.13/x
  3. Step 3: Cross multiply
    13,153.53x = 19,722.42 × 6,135.13
  4. Step 4: Simplify right side
    13,153.53x = 120,999,610.61
  5. Step 5: Solve for x
    x = 120,999,610.61/13,153.53
  6. Step 6: Final answer
    x = 9,199.02

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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.