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Finding the Fourth Proportional to 16,856.84, 25,285.80 and 5,763.08

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Solution

The fourth proportional to 16,856.84, 25,285.80 and 5,763.08 is: 8,644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,856.84 : 25,285.80 = 5,763.08 : x
  2. Step 2: Convert to fraction form
    16,856.84/25,285.80 = 5,763.08/x
  3. Step 3: Cross multiply
    16,856.84x = 25,285.80 × 5,763.08
  4. Step 4: Simplify right side
    16,856.84x = 145,724,088.26
  5. Step 5: Solve for x
    x = 145,724,088.26/16,856.84
  6. Step 6: Final answer
    x = 8,644.80

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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.