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Finding the Fourth Proportional to 24,484.96, 36,712.84 and 9,696

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Solution

The fourth proportional to 24,484.96, 36,712.84 and 9,696 is: 14,538.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,484.96 : 36,712.84 = 9,696 : x
  2. Step 2: Convert to fraction form
    24,484.96/36,712.84 = 9,696/x
  3. Step 3: Cross multiply
    24,484.96x = 36,712.84 × 9,696
  4. Step 4: Simplify right side
    24,484.96x = 355,967,696.64
  5. Step 5: Solve for x
    x = 355,967,696.64/24,484.96
  6. Step 6: Final answer
    x = 14,538.22

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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.