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Finding the Fourth Proportional to 14,924.82, 20,595.44 and 8,209.36

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Solution

The fourth proportional to 14,924.82, 20,595.44 and 8,209.36 is: 11,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,924.82 : 20,595.44 = 8,209.36 : x
  2. Step 2: Convert to fraction form
    14,924.82/20,595.44 = 8,209.36/x
  3. Step 3: Cross multiply
    14,924.82x = 20,595.44 × 8,209.36
  4. Step 4: Simplify right side
    14,924.82x = 169,075,381.32
  5. Step 5: Solve for x
    x = 169,075,381.32/14,924.82
  6. Step 6: Final answer
    x = 11,328.47

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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.