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Finding the Fourth Proportional to 25,438.60, 35,099 and 15,232.98

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Solution

The fourth proportional to 25,438.60, 35,099 and 15,232.98 is: 21,017.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,438.60 : 35,099 = 15,232.98 : x
  2. Step 2: Convert to fraction form
    25,438.60/35,099 = 15,232.98/x
  3. Step 3: Cross multiply
    25,438.60x = 35,099 × 15,232.98
  4. Step 4: Simplify right side
    25,438.60x = 534,662,365.02
  5. Step 5: Solve for x
    x = 534,662,365.02/25,438.60
  6. Step 6: Final answer
    x = 21,017.76

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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.