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Finding the Fourth Proportional to 15,506.64, 23,256.45 and 4,413.08

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Solution

The fourth proportional to 15,506.64, 23,256.45 and 4,413.08 is: 6,618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,506.64 : 23,256.45 = 4,413.08 : x
  2. Step 2: Convert to fraction form
    15,506.64/23,256.45 = 4,413.08/x
  3. Step 3: Cross multiply
    15,506.64x = 23,256.45 × 4,413.08
  4. Step 4: Simplify right side
    15,506.64x = 102,632,458.08
  5. Step 5: Solve for x
    x = 102,632,458.08/15,506.64
  6. Step 6: Final answer
    x = 6,618.61

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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.