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Finding the Fourth Proportional to 11,566.80, 17,366.40 and 9,104.40

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Solution

The fourth proportional to 11,566.80, 17,366.40 and 9,104.40 is: 13,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.80 : 17,366.40 = 9,104.40 : x
  2. Step 2: Convert to fraction form
    11,566.80/17,366.40 = 9,104.40/x
  3. Step 3: Cross multiply
    11,566.80x = 17,366.40 × 9,104.40
  4. Step 4: Simplify right side
    11,566.80x = 158,110,652.16
  5. Step 5: Solve for x
    x = 158,110,652.16/11,566.80
  6. Step 6: Final answer
    x = 13,669.35

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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.