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Finding the Fourth Proportional to 13,102.10, 19,640.80 and 6,522.07

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Solution

The fourth proportional to 13,102.10, 19,640.80 and 6,522.07 is: 9,776.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.10 : 19,640.80 = 6,522.07 : x
  2. Step 2: Convert to fraction form
    13,102.10/19,640.80 = 6,522.07/x
  3. Step 3: Cross multiply
    13,102.10x = 19,640.80 × 6,522.07
  4. Step 4: Simplify right side
    13,102.10x = 128,098,672.46
  5. Step 5: Solve for x
    x = 128,098,672.46/13,102.10
  6. Step 6: Final answer
    x = 9,776.96

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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.