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Finding the Fourth Proportional to 12,878.82, 19,308.78 and 4,108.68

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Solution

The fourth proportional to 12,878.82, 19,308.78 and 4,108.68 is: 6,160.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.82 : 19,308.78 = 4,108.68 : x
  2. Step 2: Convert to fraction form
    12,878.82/19,308.78 = 4,108.68/x
  3. Step 3: Cross multiply
    12,878.82x = 19,308.78 × 4,108.68
  4. Step 4: Simplify right side
    12,878.82x = 79,333,598.21
  5. Step 5: Solve for x
    x = 79,333,598.21/12,878.82
  6. Step 6: Final answer
    x = 6,160.01

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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.