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Finding the Fourth Proportional to 14,509.60, 21,764.40 and 7,118.80

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Solution

The fourth proportional to 14,509.60, 21,764.40 and 7,118.80 is: 10,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.60 : 21,764.40 = 7,118.80 : x
  2. Step 2: Convert to fraction form
    14,509.60/21,764.40 = 7,118.80/x
  3. Step 3: Cross multiply
    14,509.60x = 21,764.40 × 7,118.80
  4. Step 4: Simplify right side
    14,509.60x = 154,936,410.72
  5. Step 5: Solve for x
    x = 154,936,410.72/14,509.60
  6. Step 6: Final answer
    x = 10,678.20

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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.