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Finding the Fourth Proportional to 21,713.64, 29,965.96 and 12,152.94

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Solution

The fourth proportional to 21,713.64, 29,965.96 and 12,152.94 is: 16,771.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,713.64 : 29,965.96 = 12,152.94 : x
  2. Step 2: Convert to fraction form
    21,713.64/29,965.96 = 12,152.94/x
  3. Step 3: Cross multiply
    21,713.64x = 29,965.96 × 12,152.94
  4. Step 4: Simplify right side
    21,713.64x = 364,174,513.92
  5. Step 5: Solve for x
    x = 364,174,513.92/21,713.64
  6. Step 6: Final answer
    x = 16,771.69

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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.