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Finding the Fourth Proportional to 20,393.12, 30,618 and 10,539.68

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Solution

The fourth proportional to 20,393.12, 30,618 and 10,539.68 is: 15,824.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,393.12 : 30,618 = 10,539.68 : x
  2. Step 2: Convert to fraction form
    20,393.12/30,618 = 10,539.68/x
  3. Step 3: Cross multiply
    20,393.12x = 30,618 × 10,539.68
  4. Step 4: Simplify right side
    20,393.12x = 322,703,922.24
  5. Step 5: Solve for x
    x = 322,703,922.24/20,393.12
  6. Step 6: Final answer
    x = 15,824.16

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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.