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Finding the Fourth Proportional to 12,612.22, 17,402.78 and 7,644.22

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Solution

The fourth proportional to 12,612.22, 17,402.78 and 7,644.22 is: 10,547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,612.22 : 17,402.78 = 7,644.22 : x
  2. Step 2: Convert to fraction form
    12,612.22/17,402.78 = 7,644.22/x
  3. Step 3: Cross multiply
    12,612.22x = 17,402.78 × 7,644.22
  4. Step 4: Simplify right side
    12,612.22x = 133,030,678.93
  5. Step 5: Solve for x
    x = 133,030,678.93/12,612.22
  6. Step 6: Final answer
    x = 10,547.76

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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.