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Finding the Fourth Proportional to 12,293.74, 18,449.16 and 4,897.54

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Solution

The fourth proportional to 12,293.74, 18,449.16 and 4,897.54 is: 7,349.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.74 : 18,449.16 = 4,897.54 : x
  2. Step 2: Convert to fraction form
    12,293.74/18,449.16 = 4,897.54/x
  3. Step 3: Cross multiply
    12,293.74x = 18,449.16 × 4,897.54
  4. Step 4: Simplify right side
    12,293.74x = 90,355,499.07
  5. Step 5: Solve for x
    x = 90,355,499.07/12,293.74
  6. Step 6: Final answer
    x = 7,349.72

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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.