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Finding the Fourth Proportional to 16,298.75, 22,491.27 and 9,029.41

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Solution

The fourth proportional to 16,298.75, 22,491.27 and 9,029.41 is: 12,460.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.75 : 22,491.27 = 9,029.41 : x
  2. Step 2: Convert to fraction form
    16,298.75/22,491.27 = 9,029.41/x
  3. Step 3: Cross multiply
    16,298.75x = 22,491.27 × 9,029.41
  4. Step 4: Simplify right side
    16,298.75x = 203,082,842.02
  5. Step 5: Solve for x
    x = 203,082,842.02/16,298.75
  6. Step 6: Final answer
    x = 12,460.02

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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.