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Finding the Fourth Proportional to 13,272.90, 19,905.84 and 4,506

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Solution

The fourth proportional to 13,272.90, 19,905.84 and 4,506 is: 6,757.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,272.90 : 19,905.84 = 4,506 : x
  2. Step 2: Convert to fraction form
    13,272.90/19,905.84 = 4,506/x
  3. Step 3: Cross multiply
    13,272.90x = 19,905.84 × 4,506
  4. Step 4: Simplify right side
    13,272.90x = 89,695,715.04
  5. Step 5: Solve for x
    x = 89,695,715.04/13,272.90
  6. Step 6: Final answer
    x = 6,757.81

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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.