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Finding the Fourth Proportional to 15,871, 21,871.78 and 11,623.36

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Solution

The fourth proportional to 15,871, 21,871.78 and 11,623.36 is: 16,018.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,871 : 21,871.78 = 11,623.36 : x
  2. Step 2: Convert to fraction form
    15,871/21,871.78 = 11,623.36/x
  3. Step 3: Cross multiply
    15,871x = 21,871.78 × 11,623.36
  4. Step 4: Simplify right side
    15,871x = 254,223,572.78
  5. Step 5: Solve for x
    x = 254,223,572.78/15,871
  6. Step 6: Final answer
    x = 16,018.12

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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.