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Finding the Fourth Proportional to 30,441.41, 42,011.00 and 17,013.74

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Solution

The fourth proportional to 30,441.41, 42,011.00 and 17,013.74 is: 23,479.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,441.41 : 42,011.00 = 17,013.74 : x
  2. Step 2: Convert to fraction form
    30,441.41/42,011.00 = 17,013.74/x
  3. Step 3: Cross multiply
    30,441.41x = 42,011.00 × 17,013.74
  4. Step 4: Simplify right side
    30,441.41x = 714,763,936.02
  5. Step 5: Solve for x
    x = 714,763,936.02/30,441.41
  6. Step 6: Final answer
    x = 23,479.99

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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.