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Finding the Fourth Proportional to 25,525, 35,224.50 and 14,347

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Solution

The fourth proportional to 25,525, 35,224.50 and 14,347 is: 19,798.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,525 : 35,224.50 = 14,347 : x
  2. Step 2: Convert to fraction form
    25,525/35,224.50 = 14,347/x
  3. Step 3: Cross multiply
    25,525x = 35,224.50 × 14,347
  4. Step 4: Simplify right side
    25,525x = 505,365,901.50
  5. Step 5: Solve for x
    x = 505,365,901.50/25,525
  6. Step 6: Final answer
    x = 19,798.86

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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.