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Finding the Fourth Proportional to 12,762.54, 19,141.56 and 6,186.96

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Solution

The fourth proportional to 12,762.54, 19,141.56 and 6,186.96 is: 9,279.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.54 : 19,141.56 = 6,186.96 : x
  2. Step 2: Convert to fraction form
    12,762.54/19,141.56 = 6,186.96/x
  3. Step 3: Cross multiply
    12,762.54x = 19,141.56 × 6,186.96
  4. Step 4: Simplify right side
    12,762.54x = 118,428,066.06
  5. Step 5: Solve for x
    x = 118,428,066.06/12,762.54
  6. Step 6: Final answer
    x = 9,279.35

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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.