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Finding the Fourth Proportional to 12,878.36, 19,308.42 and 6,635.69

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Solution

The fourth proportional to 12,878.36, 19,308.42 and 6,635.69 is: 9,948.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.36 : 19,308.42 = 6,635.69 : x
  2. Step 2: Convert to fraction form
    12,878.36/19,308.42 = 6,635.69/x
  3. Step 3: Cross multiply
    12,878.36x = 19,308.42 × 6,635.69
  4. Step 4: Simplify right side
    12,878.36x = 128,124,689.51
  5. Step 5: Solve for x
    x = 128,124,689.51/12,878.36
  6. Step 6: Final answer
    x = 9,948.84

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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.