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Finding the Fourth Proportional to 16,408.09, 22,639.53 and 9,689.14

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Solution

The fourth proportional to 16,408.09, 22,639.53 and 9,689.14 is: 13,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.09 : 22,639.53 = 9,689.14 : x
  2. Step 2: Convert to fraction form
    16,408.09/22,639.53 = 9,689.14/x
  3. Step 3: Cross multiply
    16,408.09x = 22,639.53 × 9,689.14
  4. Step 4: Simplify right side
    16,408.09x = 219,357,575.70
  5. Step 5: Solve for x
    x = 219,357,575.70/16,408.09
  6. Step 6: Final answer
    x = 13,368.87

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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.