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Finding the Fourth Proportional to 12,817.36, 17,678.76 and 8,332.72

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Solution

The fourth proportional to 12,817.36, 17,678.76 and 8,332.72 is: 11,493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.36 : 17,678.76 = 8,332.72 : x
  2. Step 2: Convert to fraction form
    12,817.36/17,678.76 = 8,332.72/x
  3. Step 3: Cross multiply
    12,817.36x = 17,678.76 × 8,332.72
  4. Step 4: Simplify right side
    12,817.36x = 147,312,157.03
  5. Step 5: Solve for x
    x = 147,312,157.03/12,817.36
  6. Step 6: Final answer
    x = 11,493.17

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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.