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Finding the Fourth Proportional to 15,075.71, 20,805.74 and 8,363.51

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Solution

The fourth proportional to 15,075.71, 20,805.74 and 8,363.51 is: 11,542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,075.71 : 20,805.74 = 8,363.51 : x
  2. Step 2: Convert to fraction form
    15,075.71/20,805.74 = 8,363.51/x
  3. Step 3: Cross multiply
    15,075.71x = 20,805.74 × 8,363.51
  4. Step 4: Simplify right side
    15,075.71x = 174,009,014.55
  5. Step 5: Solve for x
    x = 174,009,014.55/15,075.71
  6. Step 6: Final answer
    x = 11,542.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.