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Finding the Fourth Proportional to 11,345.67, 16,974.77 and 10,828.08

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Solution

The fourth proportional to 11,345.67, 16,974.77 and 10,828.08 is: 16,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345.67 : 16,974.77 = 10,828.08 : x
  2. Step 2: Convert to fraction form
    11,345.67/16,974.77 = 10,828.08/x
  3. Step 3: Cross multiply
    11,345.67x = 16,974.77 × 10,828.08
  4. Step 4: Simplify right side
    11,345.67x = 183,804,113.40
  5. Step 5: Solve for x
    x = 183,804,113.40/11,345.67
  6. Step 6: Final answer
    x = 16,200.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.