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Finding the Fourth Proportional to 29,414.86, 44,097.46 and 12,762.34

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Solution

The fourth proportional to 29,414.86, 44,097.46 and 12,762.34 is: 19,132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,414.86 : 44,097.46 = 12,762.34 : x
  2. Step 2: Convert to fraction form
    29,414.86/44,097.46 = 12,762.34/x
  3. Step 3: Cross multiply
    29,414.86x = 44,097.46 × 12,762.34
  4. Step 4: Simplify right side
    29,414.86x = 562,786,777.66
  5. Step 5: Solve for x
    x = 562,786,777.66/29,414.86
  6. Step 6: Final answer
    x = 19,132.74

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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.