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Finding the Fourth Proportional to 11,826.48, 16,303.59 and 9,304.22

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Solution

The fourth proportional to 11,826.48, 16,303.59 and 9,304.22 is: 12,826.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826.48 : 16,303.59 = 9,304.22 : x
  2. Step 2: Convert to fraction form
    11,826.48/16,303.59 = 9,304.22/x
  3. Step 3: Cross multiply
    11,826.48x = 16,303.59 × 9,304.22
  4. Step 4: Simplify right side
    11,826.48x = 151,692,147.39
  5. Step 5: Solve for x
    x = 151,692,147.39/11,826.48
  6. Step 6: Final answer
    x = 12,826.48

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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.