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Finding the Fourth Proportional to 12,199.64, 18,259.32 and 9,261.76

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Solution

The fourth proportional to 12,199.64, 18,259.32 and 9,261.76 is: 13,862.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.64 : 18,259.32 = 9,261.76 : x
  2. Step 2: Convert to fraction form
    12,199.64/18,259.32 = 9,261.76/x
  3. Step 3: Cross multiply
    12,199.64x = 18,259.32 × 9,261.76
  4. Step 4: Simplify right side
    12,199.64x = 169,113,439.60
  5. Step 5: Solve for x
    x = 169,113,439.60/12,199.64
  6. Step 6: Final answer
    x = 13,862.17

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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.