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Finding the Fourth Proportional to 12,503.78, 18,760.71 and 4,714.82

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Solution

The fourth proportional to 12,503.78, 18,760.71 and 4,714.82 is: 7,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.78 : 18,760.71 = 4,714.82 : x
  2. Step 2: Convert to fraction form
    12,503.78/18,760.71 = 4,714.82/x
  3. Step 3: Cross multiply
    12,503.78x = 18,760.71 × 4,714.82
  4. Step 4: Simplify right side
    12,503.78x = 88,453,370.72
  5. Step 5: Solve for x
    x = 88,453,370.72/12,503.78
  6. Step 6: Final answer
    x = 7,074.13

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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.