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Finding the Fourth Proportional to 24,208.52, 36,319.02 and 7,569.08

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Solution

The fourth proportional to 24,208.52, 36,319.02 and 7,569.08 is: 11,355.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,208.52 : 36,319.02 = 7,569.08 : x
  2. Step 2: Convert to fraction form
    24,208.52/36,319.02 = 7,569.08/x
  3. Step 3: Cross multiply
    24,208.52x = 36,319.02 × 7,569.08
  4. Step 4: Simplify right side
    24,208.52x = 274,901,567.90
  5. Step 5: Solve for x
    x = 274,901,567.90/24,208.52
  6. Step 6: Final answer
    x = 11,355.57

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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.