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Finding the Fourth Proportional to 12,780.10, 19,172.04 and 6,543.64

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Solution

The fourth proportional to 12,780.10, 19,172.04 and 6,543.64 is: 9,816.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.10 : 19,172.04 = 6,543.64 : x
  2. Step 2: Convert to fraction form
    12,780.10/19,172.04 = 6,543.64/x
  3. Step 3: Cross multiply
    12,780.10x = 19,172.04 × 6,543.64
  4. Step 4: Simplify right side
    12,780.10x = 125,454,927.83
  5. Step 5: Solve for x
    x = 125,454,927.83/12,780.10
  6. Step 6: Final answer
    x = 9,816.43

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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.