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Finding the Fourth Proportional to 21,564.16, 29,758.16 and 12,131.84

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Solution

The fourth proportional to 21,564.16, 29,758.16 and 12,131.84 is: 16,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564.16 : 29,758.16 = 12,131.84 : x
  2. Step 2: Convert to fraction form
    21,564.16/29,758.16 = 12,131.84/x
  3. Step 3: Cross multiply
    21,564.16x = 29,758.16 × 12,131.84
  4. Step 4: Simplify right side
    21,564.16x = 361,021,235.81
  5. Step 5: Solve for x
    x = 361,021,235.81/21,564.16
  6. Step 6: Final answer
    x = 16,741.72

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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.