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Finding the Fourth Proportional to 12,812.08, 17,678.64 and 7,222

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Solution

The fourth proportional to 12,812.08, 17,678.64 and 7,222 is: 9,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.08 : 17,678.64 = 7,222 : x
  2. Step 2: Convert to fraction form
    12,812.08/17,678.64 = 7,222/x
  3. Step 3: Cross multiply
    12,812.08x = 17,678.64 × 7,222
  4. Step 4: Simplify right side
    12,812.08x = 127,675,138.08
  5. Step 5: Solve for x
    x = 127,675,138.08/12,812.08
  6. Step 6: Final answer
    x = 9,965.22

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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.