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Finding the Fourth Proportional to 14,475.42, 19,974.48 and 8,508.96

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Solution

The fourth proportional to 14,475.42, 19,974.48 and 8,508.96 is: 11,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,475.42 : 19,974.48 = 8,508.96 : x
  2. Step 2: Convert to fraction form
    14,475.42/19,974.48 = 8,508.96/x
  3. Step 3: Cross multiply
    14,475.42x = 19,974.48 × 8,508.96
  4. Step 4: Simplify right side
    14,475.42x = 169,962,051.34
  5. Step 5: Solve for x
    x = 169,962,051.34/14,475.42
  6. Step 6: Final answer
    x = 11,741.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.