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Finding the Fourth Proportional to 12,493.34, 18,740.71 and 5,097.63

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Solution

The fourth proportional to 12,493.34, 18,740.71 and 5,097.63 is: 7,646.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.34 : 18,740.71 = 5,097.63 : x
  2. Step 2: Convert to fraction form
    12,493.34/18,740.71 = 5,097.63/x
  3. Step 3: Cross multiply
    12,493.34x = 18,740.71 × 5,097.63
  4. Step 4: Simplify right side
    12,493.34x = 95,533,205.52
  5. Step 5: Solve for x
    x = 95,533,205.52/12,493.34
  6. Step 6: Final answer
    x = 7,646.73

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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.