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Finding the Fourth Proportional to 13,124.72, 19,695.18 and 7,589

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Solution

The fourth proportional to 13,124.72, 19,695.18 and 7,589 is: 11,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,124.72 : 19,695.18 = 7,589 : x
  2. Step 2: Convert to fraction form
    13,124.72/19,695.18 = 7,589/x
  3. Step 3: Cross multiply
    13,124.72x = 19,695.18 × 7,589
  4. Step 4: Simplify right side
    13,124.72x = 149,466,721.02
  5. Step 5: Solve for x
    x = 149,466,721.02/13,124.72
  6. Step 6: Final answer
    x = 11,388.18

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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.