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Finding the Fourth Proportional to 12,019.32, 16,594.02 and 7,771.68

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Solution

The fourth proportional to 12,019.32, 16,594.02 and 7,771.68 is: 10,729.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.32 : 16,594.02 = 7,771.68 : x
  2. Step 2: Convert to fraction form
    12,019.32/16,594.02 = 7,771.68/x
  3. Step 3: Cross multiply
    12,019.32x = 16,594.02 × 7,771.68
  4. Step 4: Simplify right side
    12,019.32x = 128,963,413.35
  5. Step 5: Solve for x
    x = 128,963,413.35/12,019.32
  6. Step 6: Final answer
    x = 10,729.68

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