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Finding the Fourth Proportional to 24,404.40, 36,548 and 13,283.44

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Solution

The fourth proportional to 24,404.40, 36,548 and 13,283.44 is: 19,893.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,404.40 : 36,548 = 13,283.44 : x
  2. Step 2: Convert to fraction form
    24,404.40/36,548 = 13,283.44/x
  3. Step 3: Cross multiply
    24,404.40x = 36,548 × 13,283.44
  4. Step 4: Simplify right side
    24,404.40x = 485,483,165.12
  5. Step 5: Solve for x
    x = 485,483,165.12/24,404.40
  6. Step 6: Final answer
    x = 19,893.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.