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Finding the Fourth Proportional to 25,506, 35,201.52 and 14,328

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Solution

The fourth proportional to 25,506, 35,201.52 and 14,328 is: 19,774.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,506 : 35,201.52 = 14,328 : x
  2. Step 2: Convert to fraction form
    25,506/35,201.52 = 14,328/x
  3. Step 3: Cross multiply
    25,506x = 35,201.52 × 14,328
  4. Step 4: Simplify right side
    25,506x = 504,367,378.56
  5. Step 5: Solve for x
    x = 504,367,378.56/25,506
  6. Step 6: Final answer
    x = 19,774.46

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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.