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Finding the Fourth Proportional to 21,477.26, 29,639.64 and 13,415.69

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Solution

The fourth proportional to 21,477.26, 29,639.64 and 13,415.69 is: 18,514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,477.26 : 29,639.64 = 13,415.69 : x
  2. Step 2: Convert to fraction form
    21,477.26/29,639.64 = 13,415.69/x
  3. Step 3: Cross multiply
    21,477.26x = 29,639.64 × 13,415.69
  4. Step 4: Simplify right side
    21,477.26x = 397,636,154.87
  5. Step 5: Solve for x
    x = 397,636,154.87/21,477.26
  6. Step 6: Final answer
    x = 18,514.29

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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.