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Finding the Fourth Proportional to 14,313.97, 19,748.64 and 9,282.12

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Solution

The fourth proportional to 14,313.97, 19,748.64 and 9,282.12 is: 12,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,313.97 : 19,748.64 = 9,282.12 : x
  2. Step 2: Convert to fraction form
    14,313.97/19,748.64 = 9,282.12/x
  3. Step 3: Cross multiply
    14,313.97x = 19,748.64 × 9,282.12
  4. Step 4: Simplify right side
    14,313.97x = 183,309,246.32
  5. Step 5: Solve for x
    x = 183,309,246.32/14,313.97
  6. Step 6: Final answer
    x = 12,806.32

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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.