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Finding the Fourth Proportional to 21,194.58, 29,235.78 and 14,024.64

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Solution

The fourth proportional to 21,194.58, 29,235.78 and 14,024.64 is: 19,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.58 : 29,235.78 = 14,024.64 : x
  2. Step 2: Convert to fraction form
    21,194.58/29,235.78 = 14,024.64/x
  3. Step 3: Cross multiply
    21,194.58x = 29,235.78 × 14,024.64
  4. Step 4: Simplify right side
    21,194.58x = 410,021,289.62
  5. Step 5: Solve for x
    x = 410,021,289.62/21,194.58
  6. Step 6: Final answer
    x = 19,345.57

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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.