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Finding the Fourth Proportional to 24,608.02, 36,894.13 and 9,812.50

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Solution

The fourth proportional to 24,608.02, 36,894.13 and 9,812.50 is: 14,711.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,608.02 : 36,894.13 = 9,812.50 : x
  2. Step 2: Convert to fraction form
    24,608.02/36,894.13 = 9,812.50/x
  3. Step 3: Cross multiply
    24,608.02x = 36,894.13 × 9,812.50
  4. Step 4: Simplify right side
    24,608.02x = 362,023,650.63
  5. Step 5: Solve for x
    x = 362,023,650.63/24,608.02
  6. Step 6: Final answer
    x = 14,711.61

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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.