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Finding the Fourth Proportional to 24,025, 36,037.66 and 7,609

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Solution

The fourth proportional to 24,025, 36,037.66 and 7,609 is: 11,413.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,025 : 36,037.66 = 7,609 : x
  2. Step 2: Convert to fraction form
    24,025/36,037.66 = 7,609/x
  3. Step 3: Cross multiply
    24,025x = 36,037.66 × 7,609
  4. Step 4: Simplify right side
    24,025x = 274,210,554.94
  5. Step 5: Solve for x
    x = 274,210,554.94/24,025
  6. Step 6: Final answer
    x = 11,413.55

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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.