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Finding the Fourth Proportional to 12,444.30, 18,666.45 and 7,836.30

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Solution

The fourth proportional to 12,444.30, 18,666.45 and 7,836.30 is: 11,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,444.30 : 18,666.45 = 7,836.30 : x
  2. Step 2: Convert to fraction form
    12,444.30/18,666.45 = 7,836.30/x
  3. Step 3: Cross multiply
    12,444.30x = 18,666.45 × 7,836.30
  4. Step 4: Simplify right side
    12,444.30x = 146,275,902.14
  5. Step 5: Solve for x
    x = 146,275,902.14/12,444.30
  6. Step 6: Final answer
    x = 11,754.45

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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.