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Finding the Fourth Proportional to 25,393.50, 38,114.55 and 10,598.45

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Solution

The fourth proportional to 25,393.50, 38,114.55 and 10,598.45 is: 15,907.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,393.50 : 38,114.55 = 10,598.45 : x
  2. Step 2: Convert to fraction form
    25,393.50/38,114.55 = 10,598.45/x
  3. Step 3: Cross multiply
    25,393.50x = 38,114.55 × 10,598.45
  4. Step 4: Simplify right side
    25,393.50x = 403,954,961.87
  5. Step 5: Solve for x
    x = 403,954,961.87/25,393.50
  6. Step 6: Final answer
    x = 15,907.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.