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Finding the Fourth Proportional to 25,803, 35,608.14 and 14,625

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Solution

The fourth proportional to 25,803, 35,608.14 and 14,625 is: 20,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,803 : 35,608.14 = 14,625 : x
  2. Step 2: Convert to fraction form
    25,803/35,608.14 = 14,625/x
  3. Step 3: Cross multiply
    25,803x = 35,608.14 × 14,625
  4. Step 4: Simplify right side
    25,803x = 520,769,047.50
  5. Step 5: Solve for x
    x = 520,769,047.50/25,803
  6. Step 6: Final answer
    x = 20,182.50

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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.