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Finding the Fourth Proportional to 12,643.96, 18,961.01 and 4,742.17

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Solution

The fourth proportional to 12,643.96, 18,961.01 and 4,742.17 is: 7,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.96 : 18,961.01 = 4,742.17 : x
  2. Step 2: Convert to fraction form
    12,643.96/18,961.01 = 4,742.17/x
  3. Step 3: Cross multiply
    12,643.96x = 18,961.01 × 4,742.17
  4. Step 4: Simplify right side
    12,643.96x = 89,916,261.68
  5. Step 5: Solve for x
    x = 89,916,261.68/12,643.96
  6. Step 6: Final answer
    x = 7,111.40

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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.