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Finding the Fourth Proportional to 25,758.63, 38,631.69 and 7,038.75

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Solution

The fourth proportional to 25,758.63, 38,631.69 and 7,038.75 is: 10,556.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,758.63 : 38,631.69 = 7,038.75 : x
  2. Step 2: Convert to fraction form
    25,758.63/38,631.69 = 7,038.75/x
  3. Step 3: Cross multiply
    25,758.63x = 38,631.69 × 7,038.75
  4. Step 4: Simplify right side
    25,758.63x = 271,918,807.99
  5. Step 5: Solve for x
    x = 271,918,807.99/25,758.63
  6. Step 6: Final answer
    x = 10,556.42

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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.