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Finding the Fourth Proportional to 13,435.47, 20,145.11 and 7,886.16

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Solution

The fourth proportional to 13,435.47, 20,145.11 and 7,886.16 is: 11,824.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.47 : 20,145.11 = 7,886.16 : x
  2. Step 2: Convert to fraction form
    13,435.47/20,145.11 = 7,886.16/x
  3. Step 3: Cross multiply
    13,435.47x = 20,145.11 × 7,886.16
  4. Step 4: Simplify right side
    13,435.47x = 158,867,521.25
  5. Step 5: Solve for x
    x = 158,867,521.25/13,435.47
  6. Step 6: Final answer
    x = 11,824.49

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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.