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Finding the Fourth Proportional to 13,026.77, 19,549.49 and 9,748.55

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Solution

The fourth proportional to 13,026.77, 19,549.49 and 9,748.55 is: 14,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.77 : 19,549.49 = 9,748.55 : x
  2. Step 2: Convert to fraction form
    13,026.77/19,549.49 = 9,748.55/x
  3. Step 3: Cross multiply
    13,026.77x = 19,549.49 × 9,748.55
  4. Step 4: Simplify right side
    13,026.77x = 190,579,034.25
  5. Step 5: Solve for x
    x = 190,579,034.25/13,026.77
  6. Step 6: Final answer
    x = 14,629.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.