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Finding the Fourth Proportional to 30,780.94, 42,474.63 and 18,847.66

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Solution

The fourth proportional to 30,780.94, 42,474.63 and 18,847.66 is: 26,007.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,780.94 : 42,474.63 = 18,847.66 : x
  2. Step 2: Convert to fraction form
    30,780.94/42,474.63 = 18,847.66/x
  3. Step 3: Cross multiply
    30,780.94x = 42,474.63 × 18,847.66
  4. Step 4: Simplify right side
    30,780.94x = 800,547,384.87
  5. Step 5: Solve for x
    x = 800,547,384.87/30,780.94
  6. Step 6: Final answer
    x = 26,007.89

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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.