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Finding the Fourth Proportional to 13,264.96, 19,914.36 and 8,275

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Solution

The fourth proportional to 13,264.96, 19,914.36 and 8,275 is: 12,423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.96 : 19,914.36 = 8,275 : x
  2. Step 2: Convert to fraction form
    13,264.96/19,914.36 = 8,275/x
  3. Step 3: Cross multiply
    13,264.96x = 19,914.36 × 8,275
  4. Step 4: Simplify right side
    13,264.96x = 164,791,329
  5. Step 5: Solve for x
    x = 164,791,329/13,264.96
  6. Step 6: Final answer
    x = 12,423.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.