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Finding the Fourth Proportional to 30,829.84, 42,542.76 and 17,404.36

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Solution

The fourth proportional to 30,829.84, 42,542.76 and 17,404.36 is: 24,016.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,829.84 : 42,542.76 = 17,404.36 : x
  2. Step 2: Convert to fraction form
    30,829.84/42,542.76 = 17,404.36/x
  3. Step 3: Cross multiply
    30,829.84x = 42,542.76 × 17,404.36
  4. Step 4: Simplify right side
    30,829.84x = 740,429,510.43
  5. Step 5: Solve for x
    x = 740,429,510.43/30,829.84
  6. Step 6: Final answer
    x = 24,016.65

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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.