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Finding the Fourth Proportional to 12,643.52, 17,453.76 and 9,280.40

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Solution

The fourth proportional to 12,643.52, 17,453.76 and 9,280.40 is: 12,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.52 : 17,453.76 = 9,280.40 : x
  2. Step 2: Convert to fraction form
    12,643.52/17,453.76 = 9,280.40/x
  3. Step 3: Cross multiply
    12,643.52x = 17,453.76 × 9,280.40
  4. Step 4: Simplify right side
    12,643.52x = 161,977,874.30
  5. Step 5: Solve for x
    x = 161,977,874.30/12,643.52
  6. Step 6: Final answer
    x = 12,811.14

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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.