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Finding the Fourth Proportional to 24,365.46, 36,548.28 and 5,897.46

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Solution

The fourth proportional to 24,365.46, 36,548.28 and 5,897.46 is: 8,846.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,365.46 : 36,548.28 = 5,897.46 : x
  2. Step 2: Convert to fraction form
    24,365.46/36,548.28 = 5,897.46/x
  3. Step 3: Cross multiply
    24,365.46x = 36,548.28 × 5,897.46
  4. Step 4: Simplify right side
    24,365.46x = 215,542,019.37
  5. Step 5: Solve for x
    x = 215,542,019.37/24,365.46
  6. Step 6: Final answer
    x = 8,846.21

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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.