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Finding the Fourth Proportional to 14,506.34, 20,024.25 and 8,538.26

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Solution

The fourth proportional to 14,506.34, 20,024.25 and 8,538.26 is: 11,786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.34 : 20,024.25 = 8,538.26 : x
  2. Step 2: Convert to fraction form
    14,506.34/20,024.25 = 8,538.26/x
  3. Step 3: Cross multiply
    14,506.34x = 20,024.25 × 8,538.26
  4. Step 4: Simplify right side
    14,506.34x = 170,972,252.81
  5. Step 5: Solve for x
    x = 170,972,252.81/14,506.34
  6. Step 6: Final answer
    x = 11,786.04

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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.