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Finding the Fourth Proportional to 24,235.86, 36,347.07 and 6,704.34

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Solution

The fourth proportional to 24,235.86, 36,347.07 and 6,704.34 is: 10,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,235.86 : 36,347.07 = 6,704.34 : x
  2. Step 2: Convert to fraction form
    24,235.86/36,347.07 = 6,704.34/x
  3. Step 3: Cross multiply
    24,235.86x = 36,347.07 × 6,704.34
  4. Step 4: Simplify right side
    24,235.86x = 243,683,115.28
  5. Step 5: Solve for x
    x = 243,683,115.28/24,235.86
  6. Step 6: Final answer
    x = 10,054.65

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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.