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Finding the Fourth Proportional to 11,626.40, 16,032.48 and 9,104

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Solution

The fourth proportional to 11,626.40, 16,032.48 and 9,104 is: 12,554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.40 : 16,032.48 = 9,104 : x
  2. Step 2: Convert to fraction form
    11,626.40/16,032.48 = 9,104/x
  3. Step 3: Cross multiply
    11,626.40x = 16,032.48 × 9,104
  4. Step 4: Simplify right side
    11,626.40x = 145,959,697.92
  5. Step 5: Solve for x
    x = 145,959,697.92/11,626.40
  6. Step 6: Final answer
    x = 12,554.16

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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.