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Finding the Fourth Proportional to 12,700.14, 17,534.75 and 7,927.35

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Solution

The fourth proportional to 12,700.14, 17,534.75 and 7,927.35 is: 10,945.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700.14 : 17,534.75 = 7,927.35 : x
  2. Step 2: Convert to fraction form
    12,700.14/17,534.75 = 7,927.35/x
  3. Step 3: Cross multiply
    12,700.14x = 17,534.75 × 7,927.35
  4. Step 4: Simplify right side
    12,700.14x = 139,004,160.54
  5. Step 5: Solve for x
    x = 139,004,160.54/12,700.14
  6. Step 6: Final answer
    x = 10,945.09

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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.