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Finding the Fourth Proportional to 13,877.53, 19,151.00 and 7,589.90

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Solution

The fourth proportional to 13,877.53, 19,151.00 and 7,589.90 is: 10,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.53 : 19,151.00 = 7,589.90 : x
  2. Step 2: Convert to fraction form
    13,877.53/19,151.00 = 7,589.90/x
  3. Step 3: Cross multiply
    13,877.53x = 19,151.00 × 7,589.90
  4. Step 4: Simplify right side
    13,877.53x = 145,354,213.29
  5. Step 5: Solve for x
    x = 145,354,213.29/13,877.53
  6. Step 6: Final answer
    x = 10,474.07

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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.