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Finding the Fourth Proportional to 30,940.94, 42,698.04 and 17,514.74

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Solution

The fourth proportional to 30,940.94, 42,698.04 and 17,514.74 is: 24,170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940.94 : 42,698.04 = 17,514.74 : x
  2. Step 2: Convert to fraction form
    30,940.94/42,698.04 = 17,514.74/x
  3. Step 3: Cross multiply
    30,940.94x = 42,698.04 × 17,514.74
  4. Step 4: Simplify right side
    30,940.94x = 747,845,069.11
  5. Step 5: Solve for x
    x = 747,845,069.11/30,940.94
  6. Step 6: Final answer
    x = 24,170.08

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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.