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Finding the Fourth Proportional to 19,784.49, 27,301.55 and 10,830.27

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Solution

The fourth proportional to 19,784.49, 27,301.55 and 10,830.27 is: 14,945.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.49 : 27,301.55 = 10,830.27 : x
  2. Step 2: Convert to fraction form
    19,784.49/27,301.55 = 10,830.27/x
  3. Step 3: Cross multiply
    19,784.49x = 27,301.55 × 10,830.27
  4. Step 4: Simplify right side
    19,784.49x = 295,683,253.25
  5. Step 5: Solve for x
    x = 295,683,253.25/19,784.49
  6. Step 6: Final answer
    x = 14,945.21

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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.