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Finding the Fourth Proportional to 12,781.56, 19,154.84 and 9,659.01

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Solution

The fourth proportional to 12,781.56, 19,154.84 and 9,659.01 is: 14,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.56 : 19,154.84 = 9,659.01 : x
  2. Step 2: Convert to fraction form
    12,781.56/19,154.84 = 9,659.01/x
  3. Step 3: Cross multiply
    12,781.56x = 19,154.84 × 9,659.01
  4. Step 4: Simplify right side
    12,781.56x = 185,016,742.81
  5. Step 5: Solve for x
    x = 185,016,742.81/12,781.56
  6. Step 6: Final answer
    x = 14,475.29

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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.