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Finding the Fourth Proportional to 12,688.74, 17,493.68 and 10,411.74

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Solution

The fourth proportional to 12,688.74, 17,493.68 and 10,411.74 is: 14,354.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.74 : 17,493.68 = 10,411.74 : x
  2. Step 2: Convert to fraction form
    12,688.74/17,493.68 = 10,411.74/x
  3. Step 3: Cross multiply
    12,688.74x = 17,493.68 × 10,411.74
  4. Step 4: Simplify right side
    12,688.74x = 182,139,673.83
  5. Step 5: Solve for x
    x = 182,139,673.83/12,688.74
  6. Step 6: Final answer
    x = 14,354.43

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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.