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Finding the Fourth Proportional to 21,564.46, 29,758.65 and 12,133

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Solution

The fourth proportional to 21,564.46, 29,758.65 and 12,133 is: 16,743.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564.46 : 29,758.65 = 12,133 : x
  2. Step 2: Convert to fraction form
    21,564.46/29,758.65 = 12,133/x
  3. Step 3: Cross multiply
    21,564.46x = 29,758.65 × 12,133
  4. Step 4: Simplify right side
    21,564.46x = 361,061,700.45
  5. Step 5: Solve for x
    x = 361,061,700.45/21,564.46
  6. Step 6: Final answer
    x = 16,743.37

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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.