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Finding the Fourth Proportional to 13,195.66, 19,763.70 and 9,264.28

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Solution

The fourth proportional to 13,195.66, 19,763.70 and 9,264.28 is: 13,875.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,195.66 : 19,763.70 = 9,264.28 : x
  2. Step 2: Convert to fraction form
    13,195.66/19,763.70 = 9,264.28/x
  3. Step 3: Cross multiply
    13,195.66x = 19,763.70 × 9,264.28
  4. Step 4: Simplify right side
    13,195.66x = 183,096,450.64
  5. Step 5: Solve for x
    x = 183,096,450.64/13,195.66
  6. Step 6: Final answer
    x = 13,875.51

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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.