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Finding the Fourth Proportional to 14,537.67, 20,061.74 and 8,164.32

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Solution

The fourth proportional to 14,537.67, 20,061.74 and 8,164.32 is: 11,266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.67 : 20,061.74 = 8,164.32 : x
  2. Step 2: Convert to fraction form
    14,537.67/20,061.74 = 8,164.32/x
  3. Step 3: Cross multiply
    14,537.67x = 20,061.74 × 8,164.32
  4. Step 4: Simplify right side
    14,537.67x = 163,790,323.99
  5. Step 5: Solve for x
    x = 163,790,323.99/14,537.67
  6. Step 6: Final answer
    x = 11,266.62

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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.