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Finding the Fourth Proportional to 13,648.49, 18,835.16 and 8,932.74

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Solution

The fourth proportional to 13,648.49, 18,835.16 and 8,932.74 is: 12,327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.49 : 18,835.16 = 8,932.74 : x
  2. Step 2: Convert to fraction form
    13,648.49/18,835.16 = 8,932.74/x
  3. Step 3: Cross multiply
    13,648.49x = 18,835.16 × 8,932.74
  4. Step 4: Simplify right side
    13,648.49x = 168,249,542.47
  5. Step 5: Solve for x
    x = 168,249,542.47/13,648.49
  6. Step 6: Final answer
    x = 12,327.34

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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.