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Finding the Fourth Proportional to 12,712.50, 19,068.84 and 3,478.50

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Solution

The fourth proportional to 12,712.50, 19,068.84 and 3,478.50 is: 5,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.50 : 19,068.84 = 3,478.50 : x
  2. Step 2: Convert to fraction form
    12,712.50/19,068.84 = 3,478.50/x
  3. Step 3: Cross multiply
    12,712.50x = 19,068.84 × 3,478.50
  4. Step 4: Simplify right side
    12,712.50x = 66,330,959.94
  5. Step 5: Solve for x
    x = 66,330,959.94/12,712.50
  6. Step 6: Final answer
    x = 5,217.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.