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Finding the Fourth Proportional to 16,923.78, 23,357.25 and 9,854.10

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Solution

The fourth proportional to 16,923.78, 23,357.25 and 9,854.10 is: 13,600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,923.78 : 23,357.25 = 9,854.10 : x
  2. Step 2: Convert to fraction form
    16,923.78/23,357.25 = 9,854.10/x
  3. Step 3: Cross multiply
    16,923.78x = 23,357.25 × 9,854.10
  4. Step 4: Simplify right side
    16,923.78x = 230,164,677.23
  5. Step 5: Solve for x
    x = 230,164,677.23/16,923.78
  6. Step 6: Final answer
    x = 13,600.07

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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.