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Finding the Fourth Proportional to 10,296.66, 14,124.81 and 10,022.88

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Solution

The fourth proportional to 10,296.66, 14,124.81 and 10,022.88 is: 13,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.66 : 14,124.81 = 10,022.88 : x
  2. Step 2: Convert to fraction form
    10,296.66/14,124.81 = 10,022.88/x
  3. Step 3: Cross multiply
    10,296.66x = 14,124.81 × 10,022.88
  4. Step 4: Simplify right side
    10,296.66x = 141,571,275.65
  5. Step 5: Solve for x
    x = 141,571,275.65/10,296.66
  6. Step 6: Final answer
    x = 13,749.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.