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Finding the Fourth Proportional to 21,616.16, 29,830.24 and 12,056.06

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Solution

The fourth proportional to 21,616.16, 29,830.24 and 12,056.06 is: 16,637.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,616.16 : 29,830.24 = 12,056.06 : x
  2. Step 2: Convert to fraction form
    21,616.16/29,830.24 = 12,056.06/x
  3. Step 3: Cross multiply
    21,616.16x = 29,830.24 × 12,056.06
  4. Step 4: Simplify right side
    21,616.16x = 359,635,163.25
  5. Step 5: Solve for x
    x = 359,635,163.25/21,616.16
  6. Step 6: Final answer
    x = 16,637.33

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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.