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Finding the Fourth Proportional to 21,552.84, 29,742.64 and 12,123

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Solution

The fourth proportional to 21,552.84, 29,742.64 and 12,123 is: 16,729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,552.84 : 29,742.64 = 12,123 : x
  2. Step 2: Convert to fraction form
    21,552.84/29,742.64 = 12,123/x
  3. Step 3: Cross multiply
    21,552.84x = 29,742.64 × 12,123
  4. Step 4: Simplify right side
    21,552.84x = 360,570,024.72
  5. Step 5: Solve for x
    x = 360,570,024.72/21,552.84
  6. Step 6: Final answer
    x = 16,729.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.