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Finding the Fourth Proportional to 14,626.64, 21,902.76 and 9,681.44

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Solution

The fourth proportional to 14,626.64, 21,902.76 and 9,681.44 is: 14,497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,626.64 : 21,902.76 = 9,681.44 : x
  2. Step 2: Convert to fraction form
    14,626.64/21,902.76 = 9,681.44/x
  3. Step 3: Cross multiply
    14,626.64x = 21,902.76 × 9,681.44
  4. Step 4: Simplify right side
    14,626.64x = 212,050,256.77
  5. Step 5: Solve for x
    x = 212,050,256.77/14,626.64
  6. Step 6: Final answer
    x = 14,497.54

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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.