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Finding the Fourth Proportional to 16,529.68, 22,805.24 and 10,564.84

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Solution

The fourth proportional to 16,529.68, 22,805.24 and 10,564.84 is: 14,575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,529.68 : 22,805.24 = 10,564.84 : x
  2. Step 2: Convert to fraction form
    16,529.68/22,805.24 = 10,564.84/x
  3. Step 3: Cross multiply
    16,529.68x = 22,805.24 × 10,564.84
  4. Step 4: Simplify right side
    16,529.68x = 240,933,597.74
  5. Step 5: Solve for x
    x = 240,933,597.74/16,529.68
  6. Step 6: Final answer
    x = 14,575.82

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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.