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Finding the Fourth Proportional to 30,856.68, 46,293.66 and 12,401.64

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Solution

The fourth proportional to 30,856.68, 46,293.66 and 12,401.64 is: 18,605.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856.68 : 46,293.66 = 12,401.64 : x
  2. Step 2: Convert to fraction form
    30,856.68/46,293.66 = 12,401.64/x
  3. Step 3: Cross multiply
    30,856.68x = 46,293.66 × 12,401.64
  4. Step 4: Simplify right side
    30,856.68x = 574,117,305.60
  5. Step 5: Solve for x
    x = 574,117,305.60/30,856.68
  6. Step 6: Final answer
    x = 18,605.93

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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.