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Finding the Fourth Proportional to 12,802.12, 19,186.98 and 6,864.28

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Solution

The fourth proportional to 12,802.12, 19,186.98 and 6,864.28 is: 10,287.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.12 : 19,186.98 = 6,864.28 : x
  2. Step 2: Convert to fraction form
    12,802.12/19,186.98 = 6,864.28/x
  3. Step 3: Cross multiply
    12,802.12x = 19,186.98 × 6,864.28
  4. Step 4: Simplify right side
    12,802.12x = 131,704,803.07
  5. Step 5: Solve for x
    x = 131,704,803.07/12,802.12
  6. Step 6: Final answer
    x = 10,287.73

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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.