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Finding the Fourth Proportional to 13,602.84, 20,407.14 and 4,375.32

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Solution

The fourth proportional to 13,602.84, 20,407.14 and 4,375.32 is: 6,563.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.84 : 20,407.14 = 4,375.32 : x
  2. Step 2: Convert to fraction form
    13,602.84/20,407.14 = 4,375.32/x
  3. Step 3: Cross multiply
    13,602.84x = 20,407.14 × 4,375.32
  4. Step 4: Simplify right side
    13,602.84x = 89,287,767.78
  5. Step 5: Solve for x
    x = 89,287,767.78/13,602.84
  6. Step 6: Final answer
    x = 6,563.91

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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.