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Finding the Fourth Proportional to 13,411.86, 20,127.04 and 6,024.62

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Solution

The fourth proportional to 13,411.86, 20,127.04 and 6,024.62 is: 9,041.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.86 : 20,127.04 = 6,024.62 : x
  2. Step 2: Convert to fraction form
    13,411.86/20,127.04 = 6,024.62/x
  3. Step 3: Cross multiply
    13,411.86x = 20,127.04 × 6,024.62
  4. Step 4: Simplify right side
    13,411.86x = 121,257,767.72
  5. Step 5: Solve for x
    x = 121,257,767.72/13,411.86
  6. Step 6: Final answer
    x = 9,041.09

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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.