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Finding the Fourth Proportional to 21,454.88, 29,605.56 and 12,024.32

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Solution

The fourth proportional to 21,454.88, 29,605.56 and 12,024.32 is: 16,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,454.88 : 29,605.56 = 12,024.32 : x
  2. Step 2: Convert to fraction form
    21,454.88/29,605.56 = 12,024.32/x
  3. Step 3: Cross multiply
    21,454.88x = 29,605.56 × 12,024.32
  4. Step 4: Simplify right side
    21,454.88x = 355,986,727.22
  5. Step 5: Solve for x
    x = 355,986,727.22/21,454.88
  6. Step 6: Final answer
    x = 16,592.34

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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.