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Finding the Fourth Proportional to 17,577.81, 24,256.67 and 10,508.13

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Solution

The fourth proportional to 17,577.81, 24,256.67 and 10,508.13 is: 14,500.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577.81 : 24,256.67 = 10,508.13 : x
  2. Step 2: Convert to fraction form
    17,577.81/24,256.67 = 10,508.13/x
  3. Step 3: Cross multiply
    17,577.81x = 24,256.67 × 10,508.13
  4. Step 4: Simplify right side
    17,577.81x = 254,892,189.19
  5. Step 5: Solve for x
    x = 254,892,189.19/17,577.81
  6. Step 6: Final answer
    x = 14,500.79

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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.