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Finding the Fourth Proportional to 25,543, 35,250.96 and 14,365

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Solution

The fourth proportional to 25,543, 35,250.96 and 14,365 is: 19,824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,543 : 35,250.96 = 14,365 : x
  2. Step 2: Convert to fraction form
    25,543/35,250.96 = 14,365/x
  3. Step 3: Cross multiply
    25,543x = 35,250.96 × 14,365
  4. Step 4: Simplify right side
    25,543x = 506,380,040.40
  5. Step 5: Solve for x
    x = 506,380,040.40/25,543
  6. Step 6: Final answer
    x = 19,824.61

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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.