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Finding the Fourth Proportional to 12,292.96, 16,966.49 and 7,256.88

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Solution

The fourth proportional to 12,292.96, 16,966.49 and 7,256.88 is: 10,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.96 : 16,966.49 = 7,256.88 : x
  2. Step 2: Convert to fraction form
    12,292.96/16,966.49 = 7,256.88/x
  3. Step 3: Cross multiply
    12,292.96x = 16,966.49 × 7,256.88
  4. Step 4: Simplify right side
    12,292.96x = 123,123,842.51
  5. Step 5: Solve for x
    x = 123,123,842.51/12,292.96
  6. Step 6: Final answer
    x = 10,015.80

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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.