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Finding the Fourth Proportional to 22,384.88, 30,883.92 and 14,413.04

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Solution

The fourth proportional to 22,384.88, 30,883.92 and 14,413.04 is: 19,885.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.88 : 30,883.92 = 14,413.04 : x
  2. Step 2: Convert to fraction form
    22,384.88/30,883.92 = 14,413.04/x
  3. Step 3: Cross multiply
    22,384.88x = 30,883.92 × 14,413.04
  4. Step 4: Simplify right side
    22,384.88x = 445,131,174.32
  5. Step 5: Solve for x
    x = 445,131,174.32/22,384.88
  6. Step 6: Final answer
    x = 19,885.35

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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.