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Finding the Fourth Proportional to 13,142.00, 19,653.08 and 9,812.58

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Solution

The fourth proportional to 13,142.00, 19,653.08 and 9,812.58 is: 14,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.00 : 19,653.08 = 9,812.58 : x
  2. Step 2: Convert to fraction form
    13,142.00/19,653.08 = 9,812.58/x
  3. Step 3: Cross multiply
    13,142.00x = 19,653.08 × 9,812.58
  4. Step 4: Simplify right side
    13,142.00x = 192,847,370.68
  5. Step 5: Solve for x
    x = 192,847,370.68/13,142.00
  6. Step 6: Final answer
    x = 14,674.13

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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.