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Finding the Fourth Proportional to 12,856.34, 17,750.93 and 10,026.87

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Solution

The fourth proportional to 12,856.34, 17,750.93 and 10,026.87 is: 13,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.34 : 17,750.93 = 10,026.87 : x
  2. Step 2: Convert to fraction form
    12,856.34/17,750.93 = 10,026.87/x
  3. Step 3: Cross multiply
    12,856.34x = 17,750.93 × 10,026.87
  4. Step 4: Simplify right side
    12,856.34x = 177,986,292.56
  5. Step 5: Solve for x
    x = 177,986,292.56/12,856.34
  6. Step 6: Final answer
    x = 13,844.25

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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.