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Finding the Fourth Proportional to 13,026.29, 17,973.51 and 7,722.82

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Solution

The fourth proportional to 13,026.29, 17,973.51 and 7,722.82 is: 10,655.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.29 : 17,973.51 = 7,722.82 : x
  2. Step 2: Convert to fraction form
    13,026.29/17,973.51 = 7,722.82/x
  3. Step 3: Cross multiply
    13,026.29x = 17,973.51 × 7,722.82
  4. Step 4: Simplify right side
    13,026.29x = 138,806,092.63
  5. Step 5: Solve for x
    x = 138,806,092.63/13,026.29
  6. Step 6: Final answer
    x = 10,655.84

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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.