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Finding the Fourth Proportional to 14,144.60, 19,518.06 and 8,178.16

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Solution

The fourth proportional to 14,144.60, 19,518.06 and 8,178.16 is: 11,285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.60 : 19,518.06 = 8,178.16 : x
  2. Step 2: Convert to fraction form
    14,144.60/19,518.06 = 8,178.16/x
  3. Step 3: Cross multiply
    14,144.60x = 19,518.06 × 8,178.16
  4. Step 4: Simplify right side
    14,144.60x = 159,621,817.57
  5. Step 5: Solve for x
    x = 159,621,817.57/14,144.60
  6. Step 6: Final answer
    x = 11,285.00

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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.