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Finding the Fourth Proportional to 19,742.13, 29,621.40 and 8,643.11

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Solution

The fourth proportional to 19,742.13, 29,621.40 and 8,643.11 is: 12,968.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,742.13 : 29,621.40 = 8,643.11 : x
  2. Step 2: Convert to fraction form
    19,742.13/29,621.40 = 8,643.11/x
  3. Step 3: Cross multiply
    19,742.13x = 29,621.40 × 8,643.11
  4. Step 4: Simplify right side
    19,742.13x = 256,021,018.55
  5. Step 5: Solve for x
    x = 256,021,018.55/19,742.13
  6. Step 6: Final answer
    x = 12,968.26

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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.