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Finding the Fourth Proportional to 25,475.40, 35,146.38 and 18,777

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Solution

The fourth proportional to 25,475.40, 35,146.38 and 18,777 is: 25,905.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,475.40 : 35,146.38 = 18,777 : x
  2. Step 2: Convert to fraction form
    25,475.40/35,146.38 = 18,777/x
  3. Step 3: Cross multiply
    25,475.40x = 35,146.38 × 18,777
  4. Step 4: Simplify right side
    25,475.40x = 659,943,577.26
  5. Step 5: Solve for x
    x = 659,943,577.26/25,475.40
  6. Step 6: Final answer
    x = 25,905.13

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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.