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Finding the Fourth Proportional to 14,002.56, 21,012.48 and 7,767.36

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Solution

The fourth proportional to 14,002.56, 21,012.48 and 7,767.36 is: 11,655.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.56 : 21,012.48 = 7,767.36 : x
  2. Step 2: Convert to fraction form
    14,002.56/21,012.48 = 7,767.36/x
  3. Step 3: Cross multiply
    14,002.56x = 21,012.48 × 7,767.36
  4. Step 4: Simplify right side
    14,002.56x = 163,211,496.65
  5. Step 5: Solve for x
    x = 163,211,496.65/14,002.56
  6. Step 6: Final answer
    x = 11,655.83

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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.