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Finding the Fourth Proportional to 19,514.86, 29,277.77 and 7,836.28

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Solution

The fourth proportional to 19,514.86, 29,277.77 and 7,836.28 is: 11,756.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,514.86 : 29,277.77 = 7,836.28 : x
  2. Step 2: Convert to fraction form
    19,514.86/29,277.77 = 7,836.28/x
  3. Step 3: Cross multiply
    19,514.86x = 29,277.77 × 7,836.28
  4. Step 4: Simplify right side
    19,514.86x = 229,428,803.50
  5. Step 5: Solve for x
    x = 229,428,803.50/19,514.86
  6. Step 6: Final answer
    x = 11,756.62

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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.