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Finding the Fourth Proportional to 16,411.95, 24,628.80 and 9,021.57

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Solution

The fourth proportional to 16,411.95, 24,628.80 and 9,021.57 is: 13,538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.95 : 24,628.80 = 9,021.57 : x
  2. Step 2: Convert to fraction form
    16,411.95/24,628.80 = 9,021.57/x
  3. Step 3: Cross multiply
    16,411.95x = 24,628.80 × 9,021.57
  4. Step 4: Simplify right side
    16,411.95x = 222,190,443.22
  5. Step 5: Solve for x
    x = 222,190,443.22/16,411.95
  6. Step 6: Final answer
    x = 13,538.33

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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.