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Finding the Fourth Proportional to 30,923.76, 42,674.76 and 16,776.60

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Solution

The fourth proportional to 30,923.76, 42,674.76 and 16,776.60 is: 23,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,923.76 : 42,674.76 = 16,776.60 : x
  2. Step 2: Convert to fraction form
    30,923.76/42,674.76 = 16,776.60/x
  3. Step 3: Cross multiply
    30,923.76x = 42,674.76 × 16,776.60
  4. Step 4: Simplify right side
    30,923.76x = 715,937,378.62
  5. Step 5: Solve for x
    x = 715,937,378.62/30,923.76
  6. Step 6: Final answer
    x = 23,151.69

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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.