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Finding the Fourth Proportional to 12,837.64, 17,715.97 and 7,172.40

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Solution

The fourth proportional to 12,837.64, 17,715.97 and 7,172.40 is: 9,897.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837.64 : 17,715.97 = 7,172.40 : x
  2. Step 2: Convert to fraction form
    12,837.64/17,715.97 = 7,172.40/x
  3. Step 3: Cross multiply
    12,837.64x = 17,715.97 × 7,172.40
  4. Step 4: Simplify right side
    12,837.64x = 127,065,958.63
  5. Step 5: Solve for x
    x = 127,065,958.63/12,837.64
  6. Step 6: Final answer
    x = 9,897.92

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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.