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Finding the Fourth Proportional to 14,566.40, 21,849.60 and 9,641.60

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Solution

The fourth proportional to 14,566.40, 21,849.60 and 9,641.60 is: 14,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,566.40 : 21,849.60 = 9,641.60 : x
  2. Step 2: Convert to fraction form
    14,566.40/21,849.60 = 9,641.60/x
  3. Step 3: Cross multiply
    14,566.40x = 21,849.60 × 9,641.60
  4. Step 4: Simplify right side
    14,566.40x = 210,665,103.36
  5. Step 5: Solve for x
    x = 210,665,103.36/14,566.40
  6. Step 6: Final answer
    x = 14,462.40

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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.