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Finding the Fourth Proportional to 12,714.80, 19,072.02 and 4,918.10

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Solution

The fourth proportional to 12,714.80, 19,072.02 and 4,918.10 is: 7,377.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.80 : 19,072.02 = 4,918.10 : x
  2. Step 2: Convert to fraction form
    12,714.80/19,072.02 = 4,918.10/x
  3. Step 3: Cross multiply
    12,714.80x = 19,072.02 × 4,918.10
  4. Step 4: Simplify right side
    12,714.80x = 93,798,101.56
  5. Step 5: Solve for x
    x = 93,798,101.56/12,714.80
  6. Step 6: Final answer
    x = 7,377.08

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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.