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Finding the Fourth Proportional to 12,457.76, 18,689.31 and 4,560.24

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Solution

The fourth proportional to 12,457.76, 18,689.31 and 4,560.24 is: 6,841.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.76 : 18,689.31 = 4,560.24 : x
  2. Step 2: Convert to fraction form
    12,457.76/18,689.31 = 4,560.24/x
  3. Step 3: Cross multiply
    12,457.76x = 18,689.31 × 4,560.24
  4. Step 4: Simplify right side
    12,457.76x = 85,227,716.23
  5. Step 5: Solve for x
    x = 85,227,716.23/12,457.76
  6. Step 6: Final answer
    x = 6,841.34

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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.