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Finding the Fourth Proportional to 14,490.86, 21,741.16 and 4,631.54

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Solution

The fourth proportional to 14,490.86, 21,741.16 and 4,631.54 is: 6,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,490.86 : 21,741.16 = 4,631.54 : x
  2. Step 2: Convert to fraction form
    14,490.86/21,741.16 = 4,631.54/x
  3. Step 3: Cross multiply
    14,490.86x = 21,741.16 × 4,631.54
  4. Step 4: Simplify right side
    14,490.86x = 100,695,052.19
  5. Step 5: Solve for x
    x = 100,695,052.19/14,490.86
  6. Step 6: Final answer
    x = 6,948.87

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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.