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Finding the Fourth Proportional to 16,069.08, 24,106.86 and 5,688.12

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Solution

The fourth proportional to 16,069.08, 24,106.86 and 5,688.12 is: 8,533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,069.08 : 24,106.86 = 5,688.12 : x
  2. Step 2: Convert to fraction form
    16,069.08/24,106.86 = 5,688.12/x
  3. Step 3: Cross multiply
    16,069.08x = 24,106.86 × 5,688.12
  4. Step 4: Simplify right side
    16,069.08x = 137,122,712.50
  5. Step 5: Solve for x
    x = 137,122,712.50/16,069.08
  6. Step 6: Final answer
    x = 8,533.33

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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.