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Finding the Fourth Proportional to 12,953.25, 17,798.02 and 10,296.05

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Solution

The fourth proportional to 12,953.25, 17,798.02 and 10,296.05 is: 14,146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.25 : 17,798.02 = 10,296.05 : x
  2. Step 2: Convert to fraction form
    12,953.25/17,798.02 = 10,296.05/x
  3. Step 3: Cross multiply
    12,953.25x = 17,798.02 × 10,296.05
  4. Step 4: Simplify right side
    12,953.25x = 183,249,189.09
  5. Step 5: Solve for x
    x = 183,249,189.09/12,953.25
  6. Step 6: Final answer
    x = 14,146.97

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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.