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Finding the Fourth Proportional to 14,538.16, 21,806.78 and 4,149.90

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Solution

The fourth proportional to 14,538.16, 21,806.78 and 4,149.90 is: 6,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538.16 : 21,806.78 = 4,149.90 : x
  2. Step 2: Convert to fraction form
    14,538.16/21,806.78 = 4,149.90/x
  3. Step 3: Cross multiply
    14,538.16x = 21,806.78 × 4,149.90
  4. Step 4: Simplify right side
    14,538.16x = 90,495,956.32
  5. Step 5: Solve for x
    x = 90,495,956.32/14,538.16
  6. Step 6: Final answer
    x = 6,224.72

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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.