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Finding the Fourth Proportional to 13,946.16, 20,922.54 and 4,586.21

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Solution

The fourth proportional to 13,946.16, 20,922.54 and 4,586.21 is: 6,880.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,946.16 : 20,922.54 = 4,586.21 : x
  2. Step 2: Convert to fraction form
    13,946.16/20,922.54 = 4,586.21/x
  3. Step 3: Cross multiply
    13,946.16x = 20,922.54 × 4,586.21
  4. Step 4: Simplify right side
    13,946.16x = 95,955,118.82
  5. Step 5: Solve for x
    x = 95,955,118.82/13,946.16
  6. Step 6: Final answer
    x = 6,880.40

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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.