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Finding the Fourth Proportional to 16,992, 25,442.28 and 9,585.36

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Solution

The fourth proportional to 16,992, 25,442.28 and 9,585.36 is: 14,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,992 : 25,442.28 = 9,585.36 : x
  2. Step 2: Convert to fraction form
    16,992/25,442.28 = 9,585.36/x
  3. Step 3: Cross multiply
    16,992x = 25,442.28 × 9,585.36
  4. Step 4: Simplify right side
    16,992x = 243,873,413.02
  5. Step 5: Solve for x
    x = 243,873,413.02/16,992
  6. Step 6: Final answer
    x = 14,352.25

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Why These Related Problems?

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