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Finding the Fourth Proportional to 15,783.96, 21,783.42 and 11,798.16

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Solution

The fourth proportional to 15,783.96, 21,783.42 and 11,798.16 is: 16,282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.96 : 21,783.42 = 11,798.16 : x
  2. Step 2: Convert to fraction form
    15,783.96/21,783.42 = 11,798.16/x
  3. Step 3: Cross multiply
    15,783.96x = 21,783.42 × 11,798.16
  4. Step 4: Simplify right side
    15,783.96x = 257,004,274.51
  5. Step 5: Solve for x
    x = 257,004,274.51/15,783.96
  6. Step 6: Final answer
    x = 16,282.62

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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.