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Finding the Fourth Proportional to 13,877.16, 19,150.68 and 7,589.40

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Solution

The fourth proportional to 13,877.16, 19,150.68 and 7,589.40 is: 10,473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.16 : 19,150.68 = 7,589.40 : x
  2. Step 2: Convert to fraction form
    13,877.16/19,150.68 = 7,589.40/x
  3. Step 3: Cross multiply
    13,877.16x = 19,150.68 × 7,589.40
  4. Step 4: Simplify right side
    13,877.16x = 145,342,170.79
  5. Step 5: Solve for x
    x = 145,342,170.79/13,877.16
  6. Step 6: Final answer
    x = 10,473.48

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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.