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Finding the Fourth Proportional to 15,468.10, 23,199.99 and 5,078.50

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Solution

The fourth proportional to 15,468.10, 23,199.99 and 5,078.50 is: 7,617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,468.10 : 23,199.99 = 5,078.50 : x
  2. Step 2: Convert to fraction form
    15,468.10/23,199.99 = 5,078.50/x
  3. Step 3: Cross multiply
    15,468.10x = 23,199.99 × 5,078.50
  4. Step 4: Simplify right side
    15,468.10x = 117,821,149.22
  5. Step 5: Solve for x
    x = 117,821,149.22/15,468.10
  6. Step 6: Final answer
    x = 7,617.04

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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.