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Finding the Fourth Proportional to 16,289.94, 24,435.18 and 6,429.14

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Solution

The fourth proportional to 16,289.94, 24,435.18 and 6,429.14 is: 9,643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.94 : 24,435.18 = 6,429.14 : x
  2. Step 2: Convert to fraction form
    16,289.94/24,435.18 = 6,429.14/x
  3. Step 3: Cross multiply
    16,289.94x = 24,435.18 × 6,429.14
  4. Step 4: Simplify right side
    16,289.94x = 157,097,038.82
  5. Step 5: Solve for x
    x = 157,097,038.82/16,289.94
  6. Step 6: Final answer
    x = 9,643.81

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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.