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Finding the Fourth Proportional to 24,142.47, 33,314.73 and 13,530.03

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Solution

The fourth proportional to 24,142.47, 33,314.73 and 13,530.03 is: 18,670.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.47 : 33,314.73 = 13,530.03 : x
  2. Step 2: Convert to fraction form
    24,142.47/33,314.73 = 13,530.03/x
  3. Step 3: Cross multiply
    24,142.47x = 33,314.73 × 13,530.03
  4. Step 4: Simplify right side
    24,142.47x = 450,749,296.34
  5. Step 5: Solve for x
    x = 450,749,296.34/24,142.47
  6. Step 6: Final answer
    x = 18,670.39

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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.