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Finding the Fourth Proportional to 14,613.16, 21,926.94 and 6,822.52

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Solution

The fourth proportional to 14,613.16, 21,926.94 and 6,822.52 is: 10,237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,613.16 : 21,926.94 = 6,822.52 : x
  2. Step 2: Convert to fraction form
    14,613.16/21,926.94 = 6,822.52/x
  3. Step 3: Cross multiply
    14,613.16x = 21,926.94 × 6,822.52
  4. Step 4: Simplify right side
    14,613.16x = 149,596,986.69
  5. Step 5: Solve for x
    x = 149,596,986.69/14,613.16
  6. Step 6: Final answer
    x = 10,237.14

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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.