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Finding the Fourth Proportional to 16,509.98, 22,783.58 and 8,956.17

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Solution

The fourth proportional to 16,509.98, 22,783.58 and 8,956.17 is: 12,359.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.98 : 22,783.58 = 8,956.17 : x
  2. Step 2: Convert to fraction form
    16,509.98/22,783.58 = 8,956.17/x
  3. Step 3: Cross multiply
    16,509.98x = 22,783.58 × 8,956.17
  4. Step 4: Simplify right side
    16,509.98x = 204,053,615.69
  5. Step 5: Solve for x
    x = 204,053,615.69/16,509.98
  6. Step 6: Final answer
    x = 12,359.41

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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.