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Finding the Fourth Proportional to 21,665.42, 29,893.14 and 12,585.38

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Solution

The fourth proportional to 21,665.42, 29,893.14 and 12,585.38 is: 17,364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.42 : 29,893.14 = 12,585.38 : x
  2. Step 2: Convert to fraction form
    21,665.42/29,893.14 = 12,585.38/x
  3. Step 3: Cross multiply
    21,665.42x = 29,893.14 × 12,585.38
  4. Step 4: Simplify right side
    21,665.42x = 376,216,376.83
  5. Step 5: Solve for x
    x = 376,216,376.83/21,665.42
  6. Step 6: Final answer
    x = 17,364.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.