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Finding the Fourth Proportional to 30,440.71, 42,008.09 and 17,011.96

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Solution

The fourth proportional to 30,440.71, 42,008.09 and 17,011.96 is: 23,476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,440.71 : 42,008.09 = 17,011.96 : x
  2. Step 2: Convert to fraction form
    30,440.71/42,008.09 = 17,011.96/x
  3. Step 3: Cross multiply
    30,440.71x = 42,008.09 × 17,011.96
  4. Step 4: Simplify right side
    30,440.71x = 714,639,756.68
  5. Step 5: Solve for x
    x = 714,639,756.68/30,440.71
  6. Step 6: Final answer
    x = 23,476.45

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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.