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Finding the Fourth Proportional to 13,281.64, 18,329.70 and 7,978.60

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Solution

The fourth proportional to 13,281.64, 18,329.70 and 7,978.60 is: 11,011.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,281.64 : 18,329.70 = 7,978.60 : x
  2. Step 2: Convert to fraction form
    13,281.64/18,329.70 = 7,978.60/x
  3. Step 3: Cross multiply
    13,281.64x = 18,329.70 × 7,978.60
  4. Step 4: Simplify right side
    13,281.64x = 146,245,344.42
  5. Step 5: Solve for x
    x = 146,245,344.42/13,281.64
  6. Step 6: Final answer
    x = 11,011.09

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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.