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Finding the Fourth Proportional to 12,966.51, 17,892.31 and 7,300.83

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Solution

The fourth proportional to 12,966.51, 17,892.31 and 7,300.83 is: 10,074.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.51 : 17,892.31 = 7,300.83 : x
  2. Step 2: Convert to fraction form
    12,966.51/17,892.31 = 7,300.83/x
  3. Step 3: Cross multiply
    12,966.51x = 17,892.31 × 7,300.83
  4. Step 4: Simplify right side
    12,966.51x = 130,628,713.62
  5. Step 5: Solve for x
    x = 130,628,713.62/12,966.51
  6. Step 6: Final answer
    x = 10,074.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.