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Finding the Fourth Proportional to 14,407.81, 21,613.87 and 4,546.94

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Solution

The fourth proportional to 14,407.81, 21,613.87 and 4,546.94 is: 6,821.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.81 : 21,613.87 = 4,546.94 : x
  2. Step 2: Convert to fraction form
    14,407.81/21,613.87 = 4,546.94/x
  3. Step 3: Cross multiply
    14,407.81x = 21,613.87 × 4,546.94
  4. Step 4: Simplify right side
    14,407.81x = 98,276,970.06
  5. Step 5: Solve for x
    x = 98,276,970.06/14,407.81
  6. Step 6: Final answer
    x = 6,821.09

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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.