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Finding the Fourth Proportional to 16,164.84, 22,313.52 and 10,575.84

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Solution

The fourth proportional to 16,164.84, 22,313.52 and 10,575.84 is: 14,598.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.84 : 22,313.52 = 10,575.84 : x
  2. Step 2: Convert to fraction form
    16,164.84/22,313.52 = 10,575.84/x
  3. Step 3: Cross multiply
    16,164.84x = 22,313.52 × 10,575.84
  4. Step 4: Simplify right side
    16,164.84x = 235,984,217.36
  5. Step 5: Solve for x
    x = 235,984,217.36/16,164.84
  6. Step 6: Final answer
    x = 14,598.61

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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.