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Finding the Fourth Proportional to 14,240.98, 19,652.05 and 7,867.46

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Solution

The fourth proportional to 14,240.98, 19,652.05 and 7,867.46 is: 10,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,240.98 : 19,652.05 = 7,867.46 : x
  2. Step 2: Convert to fraction form
    14,240.98/19,652.05 = 7,867.46/x
  3. Step 3: Cross multiply
    14,240.98x = 19,652.05 × 7,867.46
  4. Step 4: Simplify right side
    14,240.98x = 154,611,776.26
  5. Step 5: Solve for x
    x = 154,611,776.26/14,240.98
  6. Step 6: Final answer
    x = 10,856.82

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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.