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Finding the Fourth Proportional to 14,100.51, 19,458.64 and 7,727.10

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Solution

The fourth proportional to 14,100.51, 19,458.64 and 7,727.10 is: 10,663.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,100.51 : 19,458.64 = 7,727.10 : x
  2. Step 2: Convert to fraction form
    14,100.51/19,458.64 = 7,727.10/x
  3. Step 3: Cross multiply
    14,100.51x = 19,458.64 × 7,727.10
  4. Step 4: Simplify right side
    14,100.51x = 150,358,857.14
  5. Step 5: Solve for x
    x = 150,358,857.14/14,100.51
  6. Step 6: Final answer
    x = 10,663.36

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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.