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Finding the Fourth Proportional to 21,348.54, 32,029.26 and 9,661.86

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Solution

The fourth proportional to 21,348.54, 32,029.26 and 9,661.86 is: 14,495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,348.54 : 32,029.26 = 9,661.86 : x
  2. Step 2: Convert to fraction form
    21,348.54/32,029.26 = 9,661.86/x
  3. Step 3: Cross multiply
    21,348.54x = 32,029.26 × 9,661.86
  4. Step 4: Simplify right side
    21,348.54x = 309,462,226.02
  5. Step 5: Solve for x
    x = 309,462,226.02/21,348.54
  6. Step 6: Final answer
    x = 14,495.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.