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Finding the Fourth Proportional to 16,288.14, 24,429.63 and 6,291.41

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Solution

The fourth proportional to 16,288.14, 24,429.63 and 6,291.41 is: 9,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288.14 : 24,429.63 = 6,291.41 : x
  2. Step 2: Convert to fraction form
    16,288.14/24,429.63 = 6,291.41/x
  3. Step 3: Cross multiply
    16,288.14x = 24,429.63 × 6,291.41
  4. Step 4: Simplify right side
    16,288.14x = 153,696,719.92
  5. Step 5: Solve for x
    x = 153,696,719.92/16,288.14
  6. Step 6: Final answer
    x = 9,436.11

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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.