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Finding the Fourth Proportional to 13,435.25, 20,154.14 and 5,113.01

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Solution

The fourth proportional to 13,435.25, 20,154.14 and 5,113.01 is: 7,669.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.25 : 20,154.14 = 5,113.01 : x
  2. Step 2: Convert to fraction form
    13,435.25/20,154.14 = 5,113.01/x
  3. Step 3: Cross multiply
    13,435.25x = 20,154.14 × 5,113.01
  4. Step 4: Simplify right side
    13,435.25x = 103,048,193.03
  5. Step 5: Solve for x
    x = 103,048,193.03/13,435.25
  6. Step 6: Final answer
    x = 7,669.99

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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.