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Finding the Fourth Proportional to 18,413.32, 27,606.06 and 6,564.64

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Solution

The fourth proportional to 18,413.32, 27,606.06 and 6,564.64 is: 9,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,413.32 : 27,606.06 = 6,564.64 : x
  2. Step 2: Convert to fraction form
    18,413.32/27,606.06 = 6,564.64/x
  3. Step 3: Cross multiply
    18,413.32x = 27,606.06 × 6,564.64
  4. Step 4: Simplify right side
    18,413.32x = 181,223,845.72
  5. Step 5: Solve for x
    x = 181,223,845.72/18,413.32
  6. Step 6: Final answer
    x = 9,842.00

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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.