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Finding the Fourth Proportional to 14,508.42, 21,742.28 and 6,177.16

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Solution

The fourth proportional to 14,508.42, 21,742.28 and 6,177.16 is: 9,257.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,508.42 : 21,742.28 = 6,177.16 : x
  2. Step 2: Convert to fraction form
    14,508.42/21,742.28 = 6,177.16/x
  3. Step 3: Cross multiply
    14,508.42x = 21,742.28 × 6,177.16
  4. Step 4: Simplify right side
    14,508.42x = 134,305,542.32
  5. Step 5: Solve for x
    x = 134,305,542.32/14,508.42
  6. Step 6: Final answer
    x = 9,257.08

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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.