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Finding the Fourth Proportional to 25,415, 35,072.70 and 14,237.24

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Solution

The fourth proportional to 25,415, 35,072.70 and 14,237.24 is: 19,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,415 : 35,072.70 = 14,237.24 : x
  2. Step 2: Convert to fraction form
    25,415/35,072.70 = 14,237.24/x
  3. Step 3: Cross multiply
    25,415x = 35,072.70 × 14,237.24
  4. Step 4: Simplify right side
    25,415x = 499,338,447.35
  5. Step 5: Solve for x
    x = 499,338,447.35/25,415
  6. Step 6: Final answer
    x = 19,647.39

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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.