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Finding the Fourth Proportional to 14,589.86, 20,133.74 and 8,924.20

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Solution

The fourth proportional to 14,589.86, 20,133.74 and 8,924.20 is: 12,315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,589.86 : 20,133.74 = 8,924.20 : x
  2. Step 2: Convert to fraction form
    14,589.86/20,133.74 = 8,924.20/x
  3. Step 3: Cross multiply
    14,589.86x = 20,133.74 × 8,924.20
  4. Step 4: Simplify right side
    14,589.86x = 179,677,427.55
  5. Step 5: Solve for x
    x = 179,677,427.55/14,589.86
  6. Step 6: Final answer
    x = 12,315.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.