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Finding the Fourth Proportional to 12,810.60, 17,678.82 and 7,221.96

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Solution

The fourth proportional to 12,810.60, 17,678.82 and 7,221.96 is: 9,966.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.60 : 17,678.82 = 7,221.96 : x
  2. Step 2: Convert to fraction form
    12,810.60/17,678.82 = 7,221.96/x
  3. Step 3: Cross multiply
    12,810.60x = 17,678.82 × 7,221.96
  4. Step 4: Simplify right side
    12,810.60x = 127,675,730.89
  5. Step 5: Solve for x
    x = 127,675,730.89/12,810.60
  6. Step 6: Final answer
    x = 9,966.41

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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.