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Finding the Fourth Proportional to 19,823.48, 27,352.14 and 11,435.12

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Solution

The fourth proportional to 19,823.48, 27,352.14 and 11,435.12 is: 15,778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.48 : 27,352.14 = 11,435.12 : x
  2. Step 2: Convert to fraction form
    19,823.48/27,352.14 = 11,435.12/x
  3. Step 3: Cross multiply
    19,823.48x = 27,352.14 × 11,435.12
  4. Step 4: Simplify right side
    19,823.48x = 312,775,003.16
  5. Step 5: Solve for x
    x = 312,775,003.16/19,823.48
  6. Step 6: Final answer
    x = 15,778.01

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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.