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Finding the Fourth Proportional to 13,772.53, 20,595.75 and 10,264.99

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Solution

The fourth proportional to 13,772.53, 20,595.75 and 10,264.99 is: 15,350.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.53 : 20,595.75 = 10,264.99 : x
  2. Step 2: Convert to fraction form
    13,772.53/20,595.75 = 10,264.99/x
  3. Step 3: Cross multiply
    13,772.53x = 20,595.75 × 10,264.99
  4. Step 4: Simplify right side
    13,772.53x = 211,415,064.81
  5. Step 5: Solve for x
    x = 211,415,064.81/13,772.53
  6. Step 6: Final answer
    x = 15,350.49

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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.