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Finding the Fourth Proportional to 22,242, 30,699.09 and 14,689.83

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Solution

The fourth proportional to 22,242, 30,699.09 and 14,689.83 is: 20,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,242 : 30,699.09 = 14,689.83 : x
  2. Step 2: Convert to fraction form
    22,242/30,699.09 = 14,689.83/x
  3. Step 3: Cross multiply
    22,242x = 30,699.09 × 14,689.83
  4. Step 4: Simplify right side
    22,242x = 450,964,413.25
  5. Step 5: Solve for x
    x = 450,964,413.25/22,242
  6. Step 6: Final answer
    x = 20,275.35

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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.