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Finding the Fourth Proportional to 16,228.40, 24,342.60 and 9,667.40

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Solution

The fourth proportional to 16,228.40, 24,342.60 and 9,667.40 is: 14,501.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228.40 : 24,342.60 = 9,667.40 : x
  2. Step 2: Convert to fraction form
    16,228.40/24,342.60 = 9,667.40/x
  3. Step 3: Cross multiply
    16,228.40x = 24,342.60 × 9,667.40
  4. Step 4: Simplify right side
    16,228.40x = 235,329,651.24
  5. Step 5: Solve for x
    x = 235,329,651.24/16,228.40
  6. Step 6: Final answer
    x = 14,501.10

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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.