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Finding the Fourth Proportional to 21,483.84, 29,648.64 and 13,523.04

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Solution

The fourth proportional to 21,483.84, 29,648.64 and 13,523.04 is: 18,662.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,483.84 : 29,648.64 = 13,523.04 : x
  2. Step 2: Convert to fraction form
    21,483.84/29,648.64 = 13,523.04/x
  3. Step 3: Cross multiply
    21,483.84x = 29,648.64 × 13,523.04
  4. Step 4: Simplify right side
    21,483.84x = 400,939,744.67
  5. Step 5: Solve for x
    x = 400,939,744.67/21,483.84
  6. Step 6: Final answer
    x = 18,662.39

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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.