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Finding the Fourth Proportional to 22,762.86, 31,413.03 and 13,204.96

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Solution

The fourth proportional to 22,762.86, 31,413.03 and 13,204.96 is: 18,223.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.86 : 31,413.03 = 13,204.96 : x
  2. Step 2: Convert to fraction form
    22,762.86/31,413.03 = 13,204.96/x
  3. Step 3: Cross multiply
    22,762.86x = 31,413.03 × 13,204.96
  4. Step 4: Simplify right side
    22,762.86x = 414,807,804.63
  5. Step 5: Solve for x
    x = 414,807,804.63/22,762.86
  6. Step 6: Final answer
    x = 18,223.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.