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Finding the Fourth Proportional to 24,567.50, 36,851.26 and 6,099.50

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Solution

The fourth proportional to 24,567.50, 36,851.26 and 6,099.50 is: 9,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,567.50 : 36,851.26 = 6,099.50 : x
  2. Step 2: Convert to fraction form
    24,567.50/36,851.26 = 6,099.50/x
  3. Step 3: Cross multiply
    24,567.50x = 36,851.26 × 6,099.50
  4. Step 4: Simplify right side
    24,567.50x = 224,774,260.37
  5. Step 5: Solve for x
    x = 224,774,260.37/24,567.50
  6. Step 6: Final answer
    x = 9,149.25

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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.