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Finding the Fourth Proportional to 25,209, 34,788.42 and 14,033.64

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Solution

The fourth proportional to 25,209, 34,788.42 and 14,033.64 is: 19,366.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,209 : 34,788.42 = 14,033.64 : x
  2. Step 2: Convert to fraction form
    25,209/34,788.42 = 14,033.64/x
  3. Step 3: Cross multiply
    25,209x = 34,788.42 × 14,033.64
  4. Step 4: Simplify right side
    25,209x = 488,208,162.45
  5. Step 5: Solve for x
    x = 488,208,162.45/25,209
  6. Step 6: Final answer
    x = 19,366.42

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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.