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Finding the Fourth Proportional to 24,648.96, 36,946.78 and 9,841.60

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Solution

The fourth proportional to 24,648.96, 36,946.78 and 9,841.60 is: 14,751.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,648.96 : 36,946.78 = 9,841.60 : x
  2. Step 2: Convert to fraction form
    24,648.96/36,946.78 = 9,841.60/x
  3. Step 3: Cross multiply
    24,648.96x = 36,946.78 × 9,841.60
  4. Step 4: Simplify right side
    24,648.96x = 363,615,430.05
  5. Step 5: Solve for x
    x = 363,615,430.05/24,648.96
  6. Step 6: Final answer
    x = 14,751.76

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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.