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Finding the Fourth Proportional to 21,239.72, 29,302.98 and 12,853.16

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Solution

The fourth proportional to 21,239.72, 29,302.98 and 12,853.16 is: 17,732.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,239.72 : 29,302.98 = 12,853.16 : x
  2. Step 2: Convert to fraction form
    21,239.72/29,302.98 = 12,853.16/x
  3. Step 3: Cross multiply
    21,239.72x = 29,302.98 × 12,853.16
  4. Step 4: Simplify right side
    21,239.72x = 376,635,890.42
  5. Step 5: Solve for x
    x = 376,635,890.42/21,239.72
  6. Step 6: Final answer
    x = 17,732.62

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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.