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Finding the Fourth Proportional to 13,430.64, 18,536.58 and 8,649.24

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Solution

The fourth proportional to 13,430.64, 18,536.58 and 8,649.24 is: 11,937.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.64 : 18,536.58 = 8,649.24 : x
  2. Step 2: Convert to fraction form
    13,430.64/18,536.58 = 8,649.24/x
  3. Step 3: Cross multiply
    13,430.64x = 18,536.58 × 8,649.24
  4. Step 4: Simplify right side
    13,430.64x = 160,327,329.20
  5. Step 5: Solve for x
    x = 160,327,329.20/13,430.64
  6. Step 6: Final answer
    x = 11,937.43

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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.