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Finding the Fourth Proportional to 25,296, 34,908.48 and 14,118

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Solution

The fourth proportional to 25,296, 34,908.48 and 14,118 is: 19,482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,296 : 34,908.48 = 14,118 : x
  2. Step 2: Convert to fraction form
    25,296/34,908.48 = 14,118/x
  3. Step 3: Cross multiply
    25,296x = 34,908.48 × 14,118
  4. Step 4: Simplify right side
    25,296x = 492,837,920.64
  5. Step 5: Solve for x
    x = 492,837,920.64/25,296
  6. Step 6: Final answer
    x = 19,482.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.