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Finding the Fourth Proportional to 12,704.58, 19,058.15 and 3,470.66

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Solution

The fourth proportional to 12,704.58, 19,058.15 and 3,470.66 is: 5,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.58 : 19,058.15 = 3,470.66 : x
  2. Step 2: Convert to fraction form
    12,704.58/19,058.15 = 3,470.66/x
  3. Step 3: Cross multiply
    12,704.58x = 19,058.15 × 3,470.66
  4. Step 4: Simplify right side
    12,704.58x = 66,144,358.88
  5. Step 5: Solve for x
    x = 66,144,358.88/12,704.58
  6. Step 6: Final answer
    x = 5,206.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.