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Finding the Fourth Proportional to 29,666.82, 40,950.54 and 18,345

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Solution

The fourth proportional to 29,666.82, 40,950.54 and 18,345 is: 25,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,666.82 : 40,950.54 = 18,345 : x
  2. Step 2: Convert to fraction form
    29,666.82/40,950.54 = 18,345/x
  3. Step 3: Cross multiply
    29,666.82x = 40,950.54 × 18,345
  4. Step 4: Simplify right side
    29,666.82x = 751,237,656.30
  5. Step 5: Solve for x
    x = 751,237,656.30/29,666.82
  6. Step 6: Final answer
    x = 25,322.49

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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.