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Finding the Fourth Proportional to 23,607.54, 35,413.20 and 6,077.34

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Solution

The fourth proportional to 23,607.54, 35,413.20 and 6,077.34 is: 9,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,607.54 : 35,413.20 = 6,077.34 : x
  2. Step 2: Convert to fraction form
    23,607.54/35,413.20 = 6,077.34/x
  3. Step 3: Cross multiply
    23,607.54x = 35,413.20 × 6,077.34
  4. Step 4: Simplify right side
    23,607.54x = 215,218,056.89
  5. Step 5: Solve for x
    x = 215,218,056.89/23,607.54
  6. Step 6: Final answer
    x = 9,116.50

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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.