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Finding the Fourth Proportional to 14,976.51, 22,464.63 and 5,742.51

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Solution

The fourth proportional to 14,976.51, 22,464.63 and 5,742.51 is: 8,613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,976.51 : 22,464.63 = 5,742.51 : x
  2. Step 2: Convert to fraction form
    14,976.51/22,464.63 = 5,742.51/x
  3. Step 3: Cross multiply
    14,976.51x = 22,464.63 × 5,742.51
  4. Step 4: Simplify right side
    14,976.51x = 129,003,362.42
  5. Step 5: Solve for x
    x = 129,003,362.42/14,976.51
  6. Step 6: Final answer
    x = 8,613.71

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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.