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Finding the Fourth Proportional to 30,693.57, 46,035.21 and 8,509.17

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Solution

The fourth proportional to 30,693.57, 46,035.21 and 8,509.17 is: 12,762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.57 : 46,035.21 = 8,509.17 : x
  2. Step 2: Convert to fraction form
    30,693.57/46,035.21 = 8,509.17/x
  3. Step 3: Cross multiply
    30,693.57x = 46,035.21 × 8,509.17
  4. Step 4: Simplify right side
    30,693.57x = 391,721,427.88
  5. Step 5: Solve for x
    x = 391,721,427.88/30,693.57
  6. Step 6: Final answer
    x = 12,762.33

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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.