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Finding the Fourth Proportional to 12,574.56, 17,336.88 and 7,857.12

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Solution

The fourth proportional to 12,574.56, 17,336.88 and 7,857.12 is: 10,832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.56 : 17,336.88 = 7,857.12 : x
  2. Step 2: Convert to fraction form
    12,574.56/17,336.88 = 7,857.12/x
  3. Step 3: Cross multiply
    12,574.56x = 17,336.88 × 7,857.12
  4. Step 4: Simplify right side
    12,574.56x = 136,217,946.59
  5. Step 5: Solve for x
    x = 136,217,946.59/12,574.56
  6. Step 6: Final answer
    x = 10,832.82

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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.