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Finding the Fourth Proportional to 24,174.44, 33,362.10 and 13,565

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Solution

The fourth proportional to 24,174.44, 33,362.10 and 13,565 is: 18,720.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,174.44 : 33,362.10 = 13,565 : x
  2. Step 2: Convert to fraction form
    24,174.44/33,362.10 = 13,565/x
  3. Step 3: Cross multiply
    24,174.44x = 33,362.10 × 13,565
  4. Step 4: Simplify right side
    24,174.44x = 452,556,886.50
  5. Step 5: Solve for x
    x = 452,556,886.50/24,174.44
  6. Step 6: Final answer
    x = 18,720.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.