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Finding the Fourth Proportional to 12,957.84, 17,882.73 and 7,293.15

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Solution

The fourth proportional to 12,957.84, 17,882.73 and 7,293.15 is: 10,065.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.84 : 17,882.73 = 7,293.15 : x
  2. Step 2: Convert to fraction form
    12,957.84/17,882.73 = 7,293.15/x
  3. Step 3: Cross multiply
    12,957.84x = 17,882.73 × 7,293.15
  4. Step 4: Simplify right side
    12,957.84x = 130,421,432.30
  5. Step 5: Solve for x
    x = 130,421,432.30/12,957.84
  6. Step 6: Final answer
    x = 10,065.06

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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.