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Finding the Fourth Proportional to 19,810, 27,339.02 and 11,426.50

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Solution

The fourth proportional to 19,810, 27,339.02 and 11,426.50 is: 15,769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810 : 27,339.02 = 11,426.50 : x
  2. Step 2: Convert to fraction form
    19,810/27,339.02 = 11,426.50/x
  3. Step 3: Cross multiply
    19,810x = 27,339.02 × 11,426.50
  4. Step 4: Simplify right side
    19,810x = 312,389,312.03
  5. Step 5: Solve for x
    x = 312,389,312.03/19,810
  6. Step 6: Final answer
    x = 15,769.27

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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.