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Finding the Fourth Proportional to 14,143.59, 21,202.80 and 7,114.41

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Solution

The fourth proportional to 14,143.59, 21,202.80 and 7,114.41 is: 10,665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.59 : 21,202.80 = 7,114.41 : x
  2. Step 2: Convert to fraction form
    14,143.59/21,202.80 = 7,114.41/x
  3. Step 3: Cross multiply
    14,143.59x = 21,202.80 × 7,114.41
  4. Step 4: Simplify right side
    14,143.59x = 150,845,412.35
  5. Step 5: Solve for x
    x = 150,845,412.35/14,143.59
  6. Step 6: Final answer
    x = 10,665.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.