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Finding the Fourth Proportional to 30,585.96, 42,208.06 and 17,157.24

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Solution

The fourth proportional to 30,585.96, 42,208.06 and 17,157.24 is: 23,676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,585.96 : 42,208.06 = 17,157.24 : x
  2. Step 2: Convert to fraction form
    30,585.96/42,208.06 = 17,157.24/x
  3. Step 3: Cross multiply
    30,585.96x = 42,208.06 × 17,157.24
  4. Step 4: Simplify right side
    30,585.96x = 724,173,815.35
  5. Step 5: Solve for x
    x = 724,173,815.35/30,585.96
  6. Step 6: Final answer
    x = 23,676.67

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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.