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Finding the Fourth Proportional to 30,009.74, 41,412.38 and 16,580.75

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Solution

The fourth proportional to 30,009.74, 41,412.38 and 16,580.75 is: 22,880.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,009.74 : 41,412.38 = 16,580.75 : x
  2. Step 2: Convert to fraction form
    30,009.74/41,412.38 = 16,580.75/x
  3. Step 3: Cross multiply
    30,009.74x = 41,412.38 × 16,580.75
  4. Step 4: Simplify right side
    30,009.74x = 686,648,029.72
  5. Step 5: Solve for x
    x = 686,648,029.72/30,009.74
  6. Step 6: Final answer
    x = 22,880.84

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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.