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Finding the Fourth Proportional to 14,232.18, 19,636.02 and 9,199.20

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Solution

The fourth proportional to 14,232.18, 19,636.02 and 9,199.20 is: 12,692.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.18 : 19,636.02 = 9,199.20 : x
  2. Step 2: Convert to fraction form
    14,232.18/19,636.02 = 9,199.20/x
  3. Step 3: Cross multiply
    14,232.18x = 19,636.02 × 9,199.20
  4. Step 4: Simplify right side
    14,232.18x = 180,635,675.18
  5. Step 5: Solve for x
    x = 180,635,675.18/14,232.18
  6. Step 6: Final answer
    x = 12,692.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.