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Finding the Fourth Proportional to 13,075.71, 18,044.60 and 7,769.50

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Solution

The fourth proportional to 13,075.71, 18,044.60 and 7,769.50 is: 10,721.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,075.71 : 18,044.60 = 7,769.50 : x
  2. Step 2: Convert to fraction form
    13,075.71/18,044.60 = 7,769.50/x
  3. Step 3: Cross multiply
    13,075.71x = 18,044.60 × 7,769.50
  4. Step 4: Simplify right side
    13,075.71x = 140,197,435.74
  5. Step 5: Solve for x
    x = 140,197,435.74/13,075.71
  6. Step 6: Final answer
    x = 10,721.98

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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.