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Finding the Fourth Proportional to 23,204.16, 34,805.04 and 8,210.28

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Solution

The fourth proportional to 23,204.16, 34,805.04 and 8,210.28 is: 12,315.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,204.16 : 34,805.04 = 8,210.28 : x
  2. Step 2: Convert to fraction form
    23,204.16/34,805.04 = 8,210.28/x
  3. Step 3: Cross multiply
    23,204.16x = 34,805.04 × 8,210.28
  4. Step 4: Simplify right side
    23,204.16x = 285,759,123.81
  5. Step 5: Solve for x
    x = 285,759,123.81/23,204.16
  6. Step 6: Final answer
    x = 12,315.00

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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.