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Finding the Fourth Proportional to 16,420.79, 24,626.70 and 5,888.86

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Solution

The fourth proportional to 16,420.79, 24,626.70 and 5,888.86 is: 8,831.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.79 : 24,626.70 = 5,888.86 : x
  2. Step 2: Convert to fraction form
    16,420.79/24,626.70 = 5,888.86/x
  3. Step 3: Cross multiply
    16,420.79x = 24,626.70 × 5,888.86
  4. Step 4: Simplify right side
    16,420.79x = 145,023,188.56
  5. Step 5: Solve for x
    x = 145,023,188.56/16,420.79
  6. Step 6: Final answer
    x = 8,831.68

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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.