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Finding the Fourth Proportional to 16,703.78, 23,035.31 and 9,988.32

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Solution

The fourth proportional to 16,703.78, 23,035.31 and 9,988.32 is: 13,774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,703.78 : 23,035.31 = 9,988.32 : x
  2. Step 2: Convert to fraction form
    16,703.78/23,035.31 = 9,988.32/x
  3. Step 3: Cross multiply
    16,703.78x = 23,035.31 × 9,988.32
  4. Step 4: Simplify right side
    16,703.78x = 230,083,997.64
  5. Step 5: Solve for x
    x = 230,083,997.64/16,703.78
  6. Step 6: Final answer
    x = 13,774.37

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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.