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Finding the Fourth Proportional to 12,074.20, 16,664.72 and 7,875.16

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Solution

The fourth proportional to 12,074.20, 16,664.72 and 7,875.16 is: 10,869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074.20 : 16,664.72 = 7,875.16 : x
  2. Step 2: Convert to fraction form
    12,074.20/16,664.72 = 7,875.16/x
  3. Step 3: Cross multiply
    12,074.20x = 16,664.72 × 7,875.16
  4. Step 4: Simplify right side
    12,074.20x = 131,237,336.36
  5. Step 5: Solve for x
    x = 131,237,336.36/12,074.20
  6. Step 6: Final answer
    x = 10,869.24

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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.