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Finding the Fourth Proportional to 14,120, 21,213.10 and 13,322.09

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Solution

The fourth proportional to 14,120, 21,213.10 and 13,322.09 is: 20,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,120 : 21,213.10 = 13,322.09 : x
  2. Step 2: Convert to fraction form
    14,120/21,213.10 = 13,322.09/x
  3. Step 3: Cross multiply
    14,120x = 21,213.10 × 13,322.09
  4. Step 4: Simplify right side
    14,120x = 282,602,654.70
  5. Step 5: Solve for x
    x = 282,602,654.70/14,120
  6. Step 6: Final answer
    x = 20,014.35

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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.