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Finding the Fourth Proportional to 19,782.78, 27,300.56 and 10,830.13

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Solution

The fourth proportional to 19,782.78, 27,300.56 and 10,830.13 is: 14,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.78 : 27,300.56 = 10,830.13 : x
  2. Step 2: Convert to fraction form
    19,782.78/27,300.56 = 10,830.13/x
  3. Step 3: Cross multiply
    19,782.78x = 27,300.56 × 10,830.13
  4. Step 4: Simplify right side
    19,782.78x = 295,668,613.87
  5. Step 5: Solve for x
    x = 295,668,613.87/19,782.78
  6. Step 6: Final answer
    x = 14,945.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.