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Finding the Fourth Proportional to 17,577.12, 24,256.38 and 9,619.34

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Solution

The fourth proportional to 17,577.12, 24,256.38 and 9,619.34 is: 13,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577.12 : 24,256.38 = 9,619.34 : x
  2. Step 2: Convert to fraction form
    17,577.12/24,256.38 = 9,619.34/x
  3. Step 3: Cross multiply
    17,577.12x = 24,256.38 × 9,619.34
  4. Step 4: Simplify right side
    17,577.12x = 233,330,245.11
  5. Step 5: Solve for x
    x = 233,330,245.11/17,577.12
  6. Step 6: Final answer
    x = 13,274.66

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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.