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Finding the Fourth Proportional to 12,847.47, 19,261.86 and 8,677.14

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Solution

The fourth proportional to 12,847.47, 19,261.86 and 8,677.14 is: 13,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.47 : 19,261.86 = 8,677.14 : x
  2. Step 2: Convert to fraction form
    12,847.47/19,261.86 = 8,677.14/x
  3. Step 3: Cross multiply
    12,847.47x = 19,261.86 × 8,677.14
  4. Step 4: Simplify right side
    12,847.47x = 167,137,855.88
  5. Step 5: Solve for x
    x = 167,137,855.88/12,847.47
  6. Step 6: Final answer
    x = 13,009.40

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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.