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Finding the Fourth Proportional to 25,902.80, 38,844.68 and 9,258.34

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Solution

The fourth proportional to 25,902.80, 38,844.68 and 9,258.34 is: 13,884.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,902.80 : 38,844.68 = 9,258.34 : x
  2. Step 2: Convert to fraction form
    25,902.80/38,844.68 = 9,258.34/x
  3. Step 3: Cross multiply
    25,902.80x = 38,844.68 × 9,258.34
  4. Step 4: Simplify right side
    25,902.80x = 359,637,254.63
  5. Step 5: Solve for x
    x = 359,637,254.63/25,902.80
  6. Step 6: Final answer
    x = 13,884.11

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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.