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Finding the Fourth Proportional to 21,225.72, 29,282.94 and 12,827.64

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Solution

The fourth proportional to 21,225.72, 29,282.94 and 12,827.64 is: 17,696.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,225.72 : 29,282.94 = 12,827.64 : x
  2. Step 2: Convert to fraction form
    21,225.72/29,282.94 = 12,827.64/x
  3. Step 3: Cross multiply
    21,225.72x = 29,282.94 × 12,827.64
  4. Step 4: Simplify right side
    21,225.72x = 375,631,012.46
  5. Step 5: Solve for x
    x = 375,631,012.46/21,225.72
  6. Step 6: Final answer
    x = 17,696.97

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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.