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Finding the Fourth Proportional to 19,294.42, 28,950.62 and 6,823.88

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Solution

The fourth proportional to 19,294.42, 28,950.62 and 6,823.88 is: 10,239.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,294.42 : 28,950.62 = 6,823.88 : x
  2. Step 2: Convert to fraction form
    19,294.42/28,950.62 = 6,823.88/x
  3. Step 3: Cross multiply
    19,294.42x = 28,950.62 × 6,823.88
  4. Step 4: Simplify right side
    19,294.42x = 197,555,556.81
  5. Step 5: Solve for x
    x = 197,555,556.81/19,294.42
  6. Step 6: Final answer
    x = 10,239.00

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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.