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Finding the Fourth Proportional to 17,815.86, 24,585.54 and 9,858.09

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Solution

The fourth proportional to 17,815.86, 24,585.54 and 9,858.09 is: 13,603.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,815.86 : 24,585.54 = 9,858.09 : x
  2. Step 2: Convert to fraction form
    17,815.86/24,585.54 = 9,858.09/x
  3. Step 3: Cross multiply
    17,815.86x = 24,585.54 × 9,858.09
  4. Step 4: Simplify right side
    17,815.86x = 242,366,466.02
  5. Step 5: Solve for x
    x = 242,366,466.02/17,815.86
  6. Step 6: Final answer
    x = 13,603.97

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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.