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Finding the Fourth Proportional to 12,068.40, 18,103.16 and 4,278

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Solution

The fourth proportional to 12,068.40, 18,103.16 and 4,278 is: 6,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,068.40 : 18,103.16 = 4,278 : x
  2. Step 2: Convert to fraction form
    12,068.40/18,103.16 = 4,278/x
  3. Step 3: Cross multiply
    12,068.40x = 18,103.16 × 4,278
  4. Step 4: Simplify right side
    12,068.40x = 77,445,318.48
  5. Step 5: Solve for x
    x = 77,445,318.48/12,068.40
  6. Step 6: Final answer
    x = 6,417.20

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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.