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Finding the Fourth Proportional to 19,633.24, 29,457.74 and 7,154.14

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Solution

The fourth proportional to 19,633.24, 29,457.74 and 7,154.14 is: 10,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,633.24 : 29,457.74 = 7,154.14 : x
  2. Step 2: Convert to fraction form
    19,633.24/29,457.74 = 7,154.14/x
  3. Step 3: Cross multiply
    19,633.24x = 29,457.74 × 7,154.14
  4. Step 4: Simplify right side
    19,633.24x = 210,744,796.04
  5. Step 5: Solve for x
    x = 210,744,796.04/19,633.24
  6. Step 6: Final answer
    x = 10,734.08

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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.