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Finding the Fourth Proportional to 14,515.74, 20,035.35 and 8,923.50

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Solution

The fourth proportional to 14,515.74, 20,035.35 and 8,923.50 is: 12,316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,515.74 : 20,035.35 = 8,923.50 : x
  2. Step 2: Convert to fraction form
    14,515.74/20,035.35 = 8,923.50/x
  3. Step 3: Cross multiply
    14,515.74x = 20,035.35 × 8,923.50
  4. Step 4: Simplify right side
    14,515.74x = 178,785,445.73
  5. Step 5: Solve for x
    x = 178,785,445.73/14,515.74
  6. Step 6: Final answer
    x = 12,316.66

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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.