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Finding the Fourth Proportional to 16,039.50, 24,069.27 and 7,720.40

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Solution

The fourth proportional to 16,039.50, 24,069.27 and 7,720.40 is: 11,585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,039.50 : 24,069.27 = 7,720.40 : x
  2. Step 2: Convert to fraction form
    16,039.50/24,069.27 = 7,720.40/x
  3. Step 3: Cross multiply
    16,039.50x = 24,069.27 × 7,720.40
  4. Step 4: Simplify right side
    16,039.50x = 185,824,271.76
  5. Step 5: Solve for x
    x = 185,824,271.76/16,039.50
  6. Step 6: Final answer
    x = 11,585.42

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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.