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Finding the Fourth Proportional to 34,204.85, 51,312.41 and 12,014.32

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Solution

The fourth proportional to 34,204.85, 51,312.41 and 12,014.32 is: 18,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,204.85 : 51,312.41 = 12,014.32 : x
  2. Step 2: Convert to fraction form
    34,204.85/51,312.41 = 12,014.32/x
  3. Step 3: Cross multiply
    34,204.85x = 51,312.41 × 12,014.32
  4. Step 4: Simplify right side
    34,204.85x = 616,483,713.71
  5. Step 5: Solve for x
    x = 616,483,713.71/34,204.85
  6. Step 6: Final answer
    x = 18,023.28

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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.