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Finding the Fourth Proportional to 19,783.65, 27,303.29 and 11,825.70

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Solution

The fourth proportional to 19,783.65, 27,303.29 and 11,825.70 is: 16,320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.65 : 27,303.29 = 11,825.70 : x
  2. Step 2: Convert to fraction form
    19,783.65/27,303.29 = 11,825.70/x
  3. Step 3: Cross multiply
    19,783.65x = 27,303.29 × 11,825.70
  4. Step 4: Simplify right side
    19,783.65x = 322,880,584.81
  5. Step 5: Solve for x
    x = 322,880,584.81/19,783.65
  6. Step 6: Final answer
    x = 16,320.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.