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Finding the Fourth Proportional to 13,058.42, 19,590.86 and 3,824.42

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Solution

The fourth proportional to 13,058.42, 19,590.86 and 3,824.42 is: 5,737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058.42 : 19,590.86 = 3,824.42 : x
  2. Step 2: Convert to fraction form
    13,058.42/19,590.86 = 3,824.42/x
  3. Step 3: Cross multiply
    13,058.42x = 19,590.86 × 3,824.42
  4. Step 4: Simplify right side
    13,058.42x = 74,923,588.41
  5. Step 5: Solve for x
    x = 74,923,588.41/13,058.42
  6. Step 6: Final answer
    x = 5,737.57

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Why These Related Problems?

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