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Finding the Fourth Proportional to 16,101.62, 22,220.23 and 9,814.00

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Solution

The fourth proportional to 16,101.62, 22,220.23 and 9,814.00 is: 13,543.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.62 : 22,220.23 = 9,814.00 : x
  2. Step 2: Convert to fraction form
    16,101.62/22,220.23 = 9,814.00/x
  3. Step 3: Cross multiply
    16,101.62x = 22,220.23 × 9,814.00
  4. Step 4: Simplify right side
    16,101.62x = 218,069,317.20
  5. Step 5: Solve for x
    x = 218,069,317.20/16,101.62
  6. Step 6: Final answer
    x = 13,543.31

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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.