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Finding the Fourth Proportional to 22,784.90, 31,442.09 and 16,814.39

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Solution

The fourth proportional to 22,784.90, 31,442.09 and 16,814.39 is: 23,203.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784.90 : 31,442.09 = 16,814.39 : x
  2. Step 2: Convert to fraction form
    22,784.90/31,442.09 = 16,814.39/x
  3. Step 3: Cross multiply
    22,784.90x = 31,442.09 × 16,814.39
  4. Step 4: Simplify right side
    22,784.90x = 528,679,322.39
  5. Step 5: Solve for x
    x = 528,679,322.39/22,784.90
  6. Step 6: Final answer
    x = 23,203.06

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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.