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Finding the Fourth Proportional to 21,399, 29,530.73 and 11,967.57

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Solution

The fourth proportional to 21,399, 29,530.73 and 11,967.57 is: 16,515.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,399 : 29,530.73 = 11,967.57 : x
  2. Step 2: Convert to fraction form
    21,399/29,530.73 = 11,967.57/x
  3. Step 3: Cross multiply
    21,399x = 29,530.73 × 11,967.57
  4. Step 4: Simplify right side
    21,399x = 353,411,018.59
  5. Step 5: Solve for x
    x = 353,411,018.59/21,399
  6. Step 6: Final answer
    x = 16,515.31

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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.