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Finding the Fourth Proportional to 13,024.99, 19,543.16 and 5,129.92

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Solution

The fourth proportional to 13,024.99, 19,543.16 and 5,129.92 is: 7,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.99 : 19,543.16 = 5,129.92 : x
  2. Step 2: Convert to fraction form
    13,024.99/19,543.16 = 5,129.92/x
  3. Step 3: Cross multiply
    13,024.99x = 19,543.16 × 5,129.92
  4. Step 4: Simplify right side
    13,024.99x = 100,254,847.35
  5. Step 5: Solve for x
    x = 100,254,847.35/13,024.99
  6. Step 6: Final answer
    x = 7,697.12

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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.