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Finding the Fourth Proportional to 17,962.84, 24,788.05 and 10,004.90

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Solution

The fourth proportional to 17,962.84, 24,788.05 and 10,004.90 is: 13,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,962.84 : 24,788.05 = 10,004.90 : x
  2. Step 2: Convert to fraction form
    17,962.84/24,788.05 = 10,004.90/x
  3. Step 3: Cross multiply
    17,962.84x = 24,788.05 × 10,004.90
  4. Step 4: Simplify right side
    17,962.84x = 248,001,812.49
  5. Step 5: Solve for x
    x = 248,001,812.49/17,962.84
  6. Step 6: Final answer
    x = 13,806.38

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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.