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Finding the Fourth Proportional to 12,666.60, 18,971.10 and 12,378.60

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Solution

The fourth proportional to 12,666.60, 18,971.10 and 12,378.60 is: 18,539.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.60 : 18,971.10 = 12,378.60 : x
  2. Step 2: Convert to fraction form
    12,666.60/18,971.10 = 12,378.60/x
  3. Step 3: Cross multiply
    12,666.60x = 18,971.10 × 12,378.60
  4. Step 4: Simplify right side
    12,666.60x = 234,835,658.46
  5. Step 5: Solve for x
    x = 234,835,658.46/12,666.60
  6. Step 6: Final answer
    x = 18,539.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.