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Finding the Fourth Proportional to 25,975.38, 35,850.70 and 14,648.34

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Solution

The fourth proportional to 25,975.38, 35,850.70 and 14,648.34 is: 20,217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,975.38 : 35,850.70 = 14,648.34 : x
  2. Step 2: Convert to fraction form
    25,975.38/35,850.70 = 14,648.34/x
  3. Step 3: Cross multiply
    25,975.38x = 35,850.70 × 14,648.34
  4. Step 4: Simplify right side
    25,975.38x = 525,153,242.84
  5. Step 5: Solve for x
    x = 525,153,242.84/25,975.38
  6. Step 6: Final answer
    x = 20,217.35

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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.