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Finding the Fourth Proportional to 13,165.94, 19,744.36 and 9,457.16

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Solution

The fourth proportional to 13,165.94, 19,744.36 and 9,457.16 is: 14,182.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165.94 : 19,744.36 = 9,457.16 : x
  2. Step 2: Convert to fraction form
    13,165.94/19,744.36 = 9,457.16/x
  3. Step 3: Cross multiply
    13,165.94x = 19,744.36 × 9,457.16
  4. Step 4: Simplify right side
    13,165.94x = 186,725,449.25
  5. Step 5: Solve for x
    x = 186,725,449.25/13,165.94
  6. Step 6: Final answer
    x = 14,182.46

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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.