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Finding the Fourth Proportional to 12,957.24, 17,880.70 and 7,214.65

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Solution

The fourth proportional to 12,957.24, 17,880.70 and 7,214.65 is: 9,956.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.24 : 17,880.70 = 7,214.65 : x
  2. Step 2: Convert to fraction form
    12,957.24/17,880.70 = 7,214.65/x
  3. Step 3: Cross multiply
    12,957.24x = 17,880.70 × 7,214.65
  4. Step 4: Simplify right side
    12,957.24x = 129,002,992.26
  5. Step 5: Solve for x
    x = 129,002,992.26/12,957.24
  6. Step 6: Final answer
    x = 9,956.05

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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.