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Finding the Fourth Proportional to 15,857.51, 21,884.09 and 8,783.93

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Solution

The fourth proportional to 15,857.51, 21,884.09 and 8,783.93 is: 12,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.51 : 21,884.09 = 8,783.93 : x
  2. Step 2: Convert to fraction form
    15,857.51/21,884.09 = 8,783.93/x
  3. Step 3: Cross multiply
    15,857.51x = 21,884.09 × 8,783.93
  4. Step 4: Simplify right side
    15,857.51x = 192,228,325.46
  5. Step 5: Solve for x
    x = 192,228,325.46/15,857.51
  6. Step 6: Final answer
    x = 12,122.23

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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.