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Finding the Fourth Proportional to 17,534.80, 26,302.20 and 9,211.60

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Solution

The fourth proportional to 17,534.80, 26,302.20 and 9,211.60 is: 13,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.80 : 26,302.20 = 9,211.60 : x
  2. Step 2: Convert to fraction form
    17,534.80/26,302.20 = 9,211.60/x
  3. Step 3: Cross multiply
    17,534.80x = 26,302.20 × 9,211.60
  4. Step 4: Simplify right side
    17,534.80x = 242,285,345.52
  5. Step 5: Solve for x
    x = 242,285,345.52/17,534.80
  6. Step 6: Final answer
    x = 13,817.40

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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.