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Finding the Fourth Proportional to 12,598.86, 18,897.39 and 3,833.25

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Solution

The fourth proportional to 12,598.86, 18,897.39 and 3,833.25 is: 5,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.86 : 18,897.39 = 3,833.25 : x
  2. Step 2: Convert to fraction form
    12,598.86/18,897.39 = 3,833.25/x
  3. Step 3: Cross multiply
    12,598.86x = 18,897.39 × 3,833.25
  4. Step 4: Simplify right side
    12,598.86x = 72,438,420.22
  5. Step 5: Solve for x
    x = 72,438,420.22/12,598.86
  6. Step 6: Final answer
    x = 5,749.60

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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.