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Finding the Fourth Proportional to 16,532.68, 22,809.38 and 10,567.84

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Solution

The fourth proportional to 16,532.68, 22,809.38 and 10,567.84 is: 14,579.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,532.68 : 22,809.38 = 10,567.84 : x
  2. Step 2: Convert to fraction form
    16,532.68/22,809.38 = 10,567.84/x
  3. Step 3: Cross multiply
    16,532.68x = 22,809.38 × 10,567.84
  4. Step 4: Simplify right side
    16,532.68x = 241,045,878.34
  5. Step 5: Solve for x
    x = 241,045,878.34/16,532.68
  6. Step 6: Final answer
    x = 14,579.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.