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Finding the Fourth Proportional to 15,784.96, 21,784.80 and 11,799.16

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Solution

The fourth proportional to 15,784.96, 21,784.80 and 11,799.16 is: 16,284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.96 : 21,784.80 = 11,799.16 : x
  2. Step 2: Convert to fraction form
    15,784.96/21,784.80 = 11,799.16/x
  3. Step 3: Cross multiply
    15,784.96x = 21,784.80 × 11,799.16
  4. Step 4: Simplify right side
    15,784.96x = 257,042,340.77
  5. Step 5: Solve for x
    x = 257,042,340.77/15,784.96
  6. Step 6: Final answer
    x = 16,284.00

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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.