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Finding the Fourth Proportional to 13,707.18, 20,561.76 and 5,811.39

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Solution

The fourth proportional to 13,707.18, 20,561.76 and 5,811.39 is: 8,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.18 : 20,561.76 = 5,811.39 : x
  2. Step 2: Convert to fraction form
    13,707.18/20,561.76 = 5,811.39/x
  3. Step 3: Cross multiply
    13,707.18x = 20,561.76 × 5,811.39
  4. Step 4: Simplify right side
    13,707.18x = 119,492,406.45
  5. Step 5: Solve for x
    x = 119,492,406.45/13,707.18
  6. Step 6: Final answer
    x = 8,717.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.