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Finding the Fourth Proportional to 12,464.99, 18,698.06 and 5,065.61

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Solution

The fourth proportional to 12,464.99, 18,698.06 and 5,065.61 is: 7,598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.99 : 18,698.06 = 5,065.61 : x
  2. Step 2: Convert to fraction form
    12,464.99/18,698.06 = 5,065.61/x
  3. Step 3: Cross multiply
    12,464.99x = 18,698.06 × 5,065.61
  4. Step 4: Simplify right side
    12,464.99x = 94,717,054.39
  5. Step 5: Solve for x
    x = 94,717,054.39/12,464.99
  6. Step 6: Final answer
    x = 7,598.65

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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.