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Finding the Fourth Proportional to 19,558.56, 29,341.80 and 6,409.56

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Solution

The fourth proportional to 19,558.56, 29,341.80 and 6,409.56 is: 9,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,558.56 : 29,341.80 = 6,409.56 : x
  2. Step 2: Convert to fraction form
    19,558.56/29,341.80 = 6,409.56/x
  3. Step 3: Cross multiply
    19,558.56x = 29,341.80 × 6,409.56
  4. Step 4: Simplify right side
    19,558.56x = 188,068,027.61
  5. Step 5: Solve for x
    x = 188,068,027.61/19,558.56
  6. Step 6: Final answer
    x = 9,615.64

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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.