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Finding the Fourth Proportional to 13,440.04, 18,546 and 7,773.88

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Solution

The fourth proportional to 13,440.04, 18,546 and 7,773.88 is: 10,727.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,440.04 : 18,546 = 7,773.88 : x
  2. Step 2: Convert to fraction form
    13,440.04/18,546 = 7,773.88/x
  3. Step 3: Cross multiply
    13,440.04x = 18,546 × 7,773.88
  4. Step 4: Simplify right side
    13,440.04x = 144,174,378.48
  5. Step 5: Solve for x
    x = 144,174,378.48/13,440.04
  6. Step 6: Final answer
    x = 10,727.23

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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.