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Finding the Fourth Proportional to 13,148.30, 18,154.71 and 8,678.40

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Solution

The fourth proportional to 13,148.30, 18,154.71 and 8,678.40 is: 11,982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,148.30 : 18,154.71 = 8,678.40 : x
  2. Step 2: Convert to fraction form
    13,148.30/18,154.71 = 8,678.40/x
  3. Step 3: Cross multiply
    13,148.30x = 18,154.71 × 8,678.40
  4. Step 4: Simplify right side
    13,148.30x = 157,553,835.26
  5. Step 5: Solve for x
    x = 157,553,835.26/13,148.30
  6. Step 6: Final answer
    x = 11,982.83

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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.