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Finding the Fourth Proportional to 21,204.80, 31,807.04 and 8,884.16

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Solution

The fourth proportional to 21,204.80, 31,807.04 and 8,884.16 is: 13,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,204.80 : 31,807.04 = 8,884.16 : x
  2. Step 2: Convert to fraction form
    21,204.80/31,807.04 = 8,884.16/x
  3. Step 3: Cross multiply
    21,204.80x = 31,807.04 × 8,884.16
  4. Step 4: Simplify right side
    21,204.80x = 282,578,832.49
  5. Step 5: Solve for x
    x = 282,578,832.49/21,204.80
  6. Step 6: Final answer
    x = 13,326.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.