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Finding the Fourth Proportional to 19,458.43, 29,191.74 and 6,309.77

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Solution

The fourth proportional to 19,458.43, 29,191.74 and 6,309.77 is: 9,465.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,458.43 : 29,191.74 = 6,309.77 : x
  2. Step 2: Convert to fraction form
    19,458.43/29,191.74 = 6,309.77/x
  3. Step 3: Cross multiply
    19,458.43x = 29,191.74 × 6,309.77
  4. Step 4: Simplify right side
    19,458.43x = 184,193,277.48
  5. Step 5: Solve for x
    x = 184,193,277.48/19,458.43
  6. Step 6: Final answer
    x = 9,465.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.