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Finding the Fourth Proportional to 13,530.96, 18,671.04 and 7,864.56

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Solution

The fourth proportional to 13,530.96, 18,671.04 and 7,864.56 is: 10,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.96 : 18,671.04 = 7,864.56 : x
  2. Step 2: Convert to fraction form
    13,530.96/18,671.04 = 7,864.56/x
  3. Step 3: Cross multiply
    13,530.96x = 18,671.04 × 7,864.56
  4. Step 4: Simplify right side
    13,530.96x = 146,839,514.34
  5. Step 5: Solve for x
    x = 146,839,514.34/13,530.96
  6. Step 6: Final answer
    x = 10,852.11

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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.