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Finding the Fourth Proportional to 30,696.40, 42,335.76 and 18,109

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Solution

The fourth proportional to 30,696.40, 42,335.76 and 18,109 is: 24,975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,696.40 : 42,335.76 = 18,109 : x
  2. Step 2: Convert to fraction form
    30,696.40/42,335.76 = 18,109/x
  3. Step 3: Cross multiply
    30,696.40x = 42,335.76 × 18,109
  4. Step 4: Simplify right side
    30,696.40x = 766,658,277.84
  5. Step 5: Solve for x
    x = 766,658,277.84/30,696.40
  6. Step 6: Final answer
    x = 24,975.51

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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.