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Finding the Fourth Proportional to 30,600, 42,224.70 and 17,849.76

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Solution

The fourth proportional to 30,600, 42,224.70 and 17,849.76 is: 24,630.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,600 : 42,224.70 = 17,849.76 : x
  2. Step 2: Convert to fraction form
    30,600/42,224.70 = 17,849.76/x
  3. Step 3: Cross multiply
    30,600x = 42,224.70 × 17,849.76
  4. Step 4: Simplify right side
    30,600x = 753,700,761.07
  5. Step 5: Solve for x
    x = 753,700,761.07/30,600
  6. Step 6: Final answer
    x = 24,630.74

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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.