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Finding the Fourth Proportional to 30,694.37, 42,364.05 and 19,214.63

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Solution

The fourth proportional to 30,694.37, 42,364.05 and 19,214.63 is: 26,519.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,694.37 : 42,364.05 = 19,214.63 : x
  2. Step 2: Convert to fraction form
    30,694.37/42,364.05 = 19,214.63/x
  3. Step 3: Cross multiply
    30,694.37x = 42,364.05 × 19,214.63
  4. Step 4: Simplify right side
    30,694.37x = 814,009,301.89
  5. Step 5: Solve for x
    x = 814,009,301.89/30,694.37
  6. Step 6: Final answer
    x = 26,519.82

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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.