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Finding the Fourth Proportional to 25,447.54, 35,115.42 and 14,838.16

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Solution

The fourth proportional to 25,447.54, 35,115.42 and 14,838.16 is: 20,475.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,447.54 : 35,115.42 = 14,838.16 : x
  2. Step 2: Convert to fraction form
    25,447.54/35,115.42 = 14,838.16/x
  3. Step 3: Cross multiply
    25,447.54x = 35,115.42 × 14,838.16
  4. Step 4: Simplify right side
    25,447.54x = 521,048,220.43
  5. Step 5: Solve for x
    x = 521,048,220.43/25,447.54
  6. Step 6: Final answer
    x = 20,475.39

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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.