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Finding the Fourth Proportional to 20,405.72, 30,618 and 9,315.81

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Solution

The fourth proportional to 20,405.72, 30,618 and 9,315.81 is: 13,978.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,405.72 : 30,618 = 9,315.81 : x
  2. Step 2: Convert to fraction form
    20,405.72/30,618 = 9,315.81/x
  3. Step 3: Cross multiply
    20,405.72x = 30,618 × 9,315.81
  4. Step 4: Simplify right side
    20,405.72x = 285,231,470.58
  5. Step 5: Solve for x
    x = 285,231,470.58/20,405.72
  6. Step 6: Final answer
    x = 13,978.01

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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.