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Finding the Fourth Proportional to 13,460.66, 18,577.20 and 8,158.40

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Solution

The fourth proportional to 13,460.66, 18,577.20 and 8,158.40 is: 11,259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.66 : 18,577.20 = 8,158.40 : x
  2. Step 2: Convert to fraction form
    13,460.66/18,577.20 = 8,158.40/x
  3. Step 3: Cross multiply
    13,460.66x = 18,577.20 × 8,158.40
  4. Step 4: Simplify right side
    13,460.66x = 151,560,228.48
  5. Step 5: Solve for x
    x = 151,560,228.48/13,460.66
  6. Step 6: Final answer
    x = 11,259.49

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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.