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Finding the Fourth Proportional to 16,018.84, 24,011.25 and 9,448.12

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Solution

The fourth proportional to 16,018.84, 24,011.25 and 9,448.12 is: 14,162.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,018.84 : 24,011.25 = 9,448.12 : x
  2. Step 2: Convert to fraction form
    16,018.84/24,011.25 = 9,448.12/x
  3. Step 3: Cross multiply
    16,018.84x = 24,011.25 × 9,448.12
  4. Step 4: Simplify right side
    16,018.84x = 226,861,171.35
  5. Step 5: Solve for x
    x = 226,861,171.35/16,018.84
  6. Step 6: Final answer
    x = 14,162.15

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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.