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Finding the Fourth Proportional to 12,861.51, 17,752.86 and 7,485.54

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Solution

The fourth proportional to 12,861.51, 17,752.86 and 7,485.54 is: 10,332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.51 : 17,752.86 = 7,485.54 : x
  2. Step 2: Convert to fraction form
    12,861.51/17,752.86 = 7,485.54/x
  3. Step 3: Cross multiply
    12,861.51x = 17,752.86 × 7,485.54
  4. Step 4: Simplify right side
    12,861.51x = 132,889,743.64
  5. Step 5: Solve for x
    x = 132,889,743.64/12,861.51
  6. Step 6: Final answer
    x = 10,332.36

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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.