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Finding the Fourth Proportional to 14,146.14, 19,503.64 and 8,839.02

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Solution

The fourth proportional to 14,146.14, 19,503.64 and 8,839.02 is: 12,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146.14 : 19,503.64 = 8,839.02 : x
  2. Step 2: Convert to fraction form
    14,146.14/19,503.64 = 8,839.02/x
  3. Step 3: Cross multiply
    14,146.14x = 19,503.64 × 8,839.02
  4. Step 4: Simplify right side
    14,146.14x = 172,393,064.03
  5. Step 5: Solve for x
    x = 172,393,064.03/14,146.14
  6. Step 6: Final answer
    x = 12,186.58

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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.