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Finding the Fourth Proportional to 15,131.64, 22,676.76 and 11,430.84

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Solution

The fourth proportional to 15,131.64, 22,676.76 and 11,430.84 is: 17,130.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,131.64 : 22,676.76 = 11,430.84 : x
  2. Step 2: Convert to fraction form
    15,131.64/22,676.76 = 11,430.84/x
  3. Step 3: Cross multiply
    15,131.64x = 22,676.76 × 11,430.84
  4. Step 4: Simplify right side
    15,131.64x = 259,214,415.28
  5. Step 5: Solve for x
    x = 259,214,415.28/15,131.64
  6. Step 6: Final answer
    x = 17,130.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.