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Finding the Fourth Proportional to 13,953.71, 19,256.27 and 7,666.08

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Solution

The fourth proportional to 13,953.71, 19,256.27 and 7,666.08 is: 10,579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.71 : 19,256.27 = 7,666.08 : x
  2. Step 2: Convert to fraction form
    13,953.71/19,256.27 = 7,666.08/x
  3. Step 3: Cross multiply
    13,953.71x = 19,256.27 × 7,666.08
  4. Step 4: Simplify right side
    13,953.71x = 147,620,067.99
  5. Step 5: Solve for x
    x = 147,620,067.99/13,953.71
  6. Step 6: Final answer
    x = 10,579.27

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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.