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Finding the Fourth Proportional to 14,537.42, 20,061.39 and 8,164.07

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Solution

The fourth proportional to 14,537.42, 20,061.39 and 8,164.07 is: 11,266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.42 : 20,061.39 = 8,164.07 : x
  2. Step 2: Convert to fraction form
    14,537.42/20,061.39 = 8,164.07/x
  3. Step 3: Cross multiply
    14,537.42x = 20,061.39 × 8,164.07
  4. Step 4: Simplify right side
    14,537.42x = 163,782,592.26
  5. Step 5: Solve for x
    x = 163,782,592.26/14,537.42
  6. Step 6: Final answer
    x = 11,266.28

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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.