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Finding the Fourth Proportional to 19,083.12, 28,632.88 and 9,229.76

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Solution

The fourth proportional to 19,083.12, 28,632.88 and 9,229.76 is: 13,848.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,083.12 : 28,632.88 = 9,229.76 : x
  2. Step 2: Convert to fraction form
    19,083.12/28,632.88 = 9,229.76/x
  3. Step 3: Cross multiply
    19,083.12x = 28,632.88 × 9,229.76
  4. Step 4: Simplify right side
    19,083.12x = 264,274,610.51
  5. Step 5: Solve for x
    x = 264,274,610.51/19,083.12
  6. Step 6: Final answer
    x = 13,848.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.