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Finding the Fourth Proportional to 15,538.50, 23,310.05 and 5,004.99

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Solution

The fourth proportional to 15,538.50, 23,310.05 and 5,004.99 is: 7,508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,538.50 : 23,310.05 = 5,004.99 : x
  2. Step 2: Convert to fraction form
    15,538.50/23,310.05 = 5,004.99/x
  3. Step 3: Cross multiply
    15,538.50x = 23,310.05 × 5,004.99
  4. Step 4: Simplify right side
    15,538.50x = 116,666,542.12
  5. Step 5: Solve for x
    x = 116,666,542.12/15,538.50
  6. Step 6: Final answer
    x = 7,508.22

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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.