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Finding the Fourth Proportional to 28,514.50, 42,774.14 and 10,507.63

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Solution

The fourth proportional to 28,514.50, 42,774.14 and 10,507.63 is: 15,762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,514.50 : 42,774.14 = 10,507.63 : x
  2. Step 2: Convert to fraction form
    28,514.50/42,774.14 = 10,507.63/x
  3. Step 3: Cross multiply
    28,514.50x = 42,774.14 × 10,507.63
  4. Step 4: Simplify right side
    28,514.50x = 449,454,836.69
  5. Step 5: Solve for x
    x = 449,454,836.69/28,514.50
  6. Step 6: Final answer
    x = 15,762.33

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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.