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Finding the Fourth Proportional to 14,274.32, 21,413.52 and 4,414.46

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Solution

The fourth proportional to 14,274.32, 21,413.52 and 4,414.46 is: 6,622.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.32 : 21,413.52 = 4,414.46 : x
  2. Step 2: Convert to fraction form
    14,274.32/21,413.52 = 4,414.46/x
  3. Step 3: Cross multiply
    14,274.32x = 21,413.52 × 4,414.46
  4. Step 4: Simplify right side
    14,274.32x = 94,529,127.50
  5. Step 5: Solve for x
    x = 94,529,127.50/14,274.32
  6. Step 6: Final answer
    x = 6,622.32

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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.