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Finding the Fourth Proportional to 12,652.06, 18,978.05 and 3,418.06

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Solution

The fourth proportional to 12,652.06, 18,978.05 and 3,418.06 is: 5,127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.06 : 18,978.05 = 3,418.06 : x
  2. Step 2: Convert to fraction form
    12,652.06/18,978.05 = 3,418.06/x
  3. Step 3: Cross multiply
    12,652.06x = 18,978.05 × 3,418.06
  4. Step 4: Simplify right side
    12,652.06x = 64,868,113.58
  5. Step 5: Solve for x
    x = 64,868,113.58/12,652.06
  6. Step 6: Final answer
    x = 5,127.08

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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.