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Finding the Fourth Proportional to 24,474.69, 36,714.47 and 7,830.54

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Solution

The fourth proportional to 24,474.69, 36,714.47 and 7,830.54 is: 11,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,474.69 : 36,714.47 = 7,830.54 : x
  2. Step 2: Convert to fraction form
    24,474.69/36,714.47 = 7,830.54/x
  3. Step 3: Cross multiply
    24,474.69x = 36,714.47 × 7,830.54
  4. Step 4: Simplify right side
    24,474.69x = 287,494,086.76
  5. Step 5: Solve for x
    x = 287,494,086.76/24,474.69
  6. Step 6: Final answer
    x = 11,746.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.