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Finding the Fourth Proportional to 15,506.58, 23,256.42 and 4,413.06

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Solution

The fourth proportional to 15,506.58, 23,256.42 and 4,413.06 is: 6,618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,506.58 : 23,256.42 = 4,413.06 : x
  2. Step 2: Convert to fraction form
    15,506.58/23,256.42 = 4,413.06/x
  3. Step 3: Cross multiply
    15,506.58x = 23,256.42 × 4,413.06
  4. Step 4: Simplify right side
    15,506.58x = 102,631,976.85
  5. Step 5: Solve for x
    x = 102,631,976.85/15,506.58
  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.