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Finding the Fourth Proportional to 24,460.86, 36,688.17 and 7,819.51

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Solution

The fourth proportional to 24,460.86, 36,688.17 and 7,819.51 is: 11,728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,460.86 : 36,688.17 = 7,819.51 : x
  2. Step 2: Convert to fraction form
    24,460.86/36,688.17 = 7,819.51/x
  3. Step 3: Cross multiply
    24,460.86x = 36,688.17 × 7,819.51
  4. Step 4: Simplify right side
    24,460.86x = 286,883,512.20
  5. Step 5: Solve for x
    x = 286,883,512.20/24,460.86
  6. Step 6: Final answer
    x = 11,728.27

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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.