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Finding the Fourth Proportional to 16,112.50, 22,239.09 and 9,830.14

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Solution

The fourth proportional to 16,112.50, 22,239.09 and 9,830.14 is: 13,567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,112.50 : 22,239.09 = 9,830.14 : x
  2. Step 2: Convert to fraction form
    16,112.50/22,239.09 = 9,830.14/x
  3. Step 3: Cross multiply
    16,112.50x = 22,239.09 × 9,830.14
  4. Step 4: Simplify right side
    16,112.50x = 218,613,368.17
  5. Step 5: Solve for x
    x = 218,613,368.17/16,112.50
  6. Step 6: Final answer
    x = 13,567.94

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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.