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Finding the Fourth Proportional to 14,594.36, 20,133 and 8,623.14

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Solution

The fourth proportional to 14,594.36, 20,133 and 8,623.14 is: 11,895.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.36 : 20,133 = 8,623.14 : x
  2. Step 2: Convert to fraction form
    14,594.36/20,133 = 8,623.14/x
  3. Step 3: Cross multiply
    14,594.36x = 20,133 × 8,623.14
  4. Step 4: Simplify right side
    14,594.36x = 173,609,677.62
  5. Step 5: Solve for x
    x = 173,609,677.62/14,594.36
  6. Step 6: Final answer
    x = 11,895.67

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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.