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Finding the Fourth Proportional to 25,223.82, 34,809.03 and 13,894.62

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Solution

The fourth proportional to 25,223.82, 34,809.03 and 13,894.62 is: 19,174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,223.82 : 34,809.03 = 13,894.62 : x
  2. Step 2: Convert to fraction form
    25,223.82/34,809.03 = 13,894.62/x
  3. Step 3: Cross multiply
    25,223.82x = 34,809.03 × 13,894.62
  4. Step 4: Simplify right side
    25,223.82x = 483,658,244.42
  5. Step 5: Solve for x
    x = 483,658,244.42/25,223.82
  6. Step 6: Final answer
    x = 19,174.66

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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.