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Finding the Fourth Proportional to 25,775.74, 35,573.01 and 14,447.15

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Solution

The fourth proportional to 25,775.74, 35,573.01 and 14,447.15 is: 19,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,775.74 : 35,573.01 = 14,447.15 : x
  2. Step 2: Convert to fraction form
    25,775.74/35,573.01 = 14,447.15/x
  3. Step 3: Cross multiply
    25,775.74x = 35,573.01 × 14,447.15
  4. Step 4: Simplify right side
    25,775.74x = 513,928,611.42
  5. Step 5: Solve for x
    x = 513,928,611.42/25,775.74
  6. Step 6: Final answer
    x = 19,938.46

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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.