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Finding the Fourth Proportional to 25,338.64, 34,965.36 and 14,008

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Solution

The fourth proportional to 25,338.64, 34,965.36 and 14,008 is: 19,329.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,338.64 : 34,965.36 = 14,008 : x
  2. Step 2: Convert to fraction form
    25,338.64/34,965.36 = 14,008/x
  3. Step 3: Cross multiply
    25,338.64x = 34,965.36 × 14,008
  4. Step 4: Simplify right side
    25,338.64x = 489,794,762.88
  5. Step 5: Solve for x
    x = 489,794,762.88/25,338.64
  6. Step 6: Final answer
    x = 19,329.95

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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.