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Finding the Fourth Proportional to 14,460.40, 21,690.60 and 9,211.60

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Solution

The fourth proportional to 14,460.40, 21,690.60 and 9,211.60 is: 13,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,460.40 : 21,690.60 = 9,211.60 : x
  2. Step 2: Convert to fraction form
    14,460.40/21,690.60 = 9,211.60/x
  3. Step 3: Cross multiply
    14,460.40x = 21,690.60 × 9,211.60
  4. Step 4: Simplify right side
    14,460.40x = 199,805,130.96
  5. Step 5: Solve for x
    x = 199,805,130.96/14,460.40
  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.