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Finding the Fourth Proportional to 14,730, 20,327.44 and 8,106

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Solution

The fourth proportional to 14,730, 20,327.44 and 8,106 is: 11,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,730 : 20,327.44 = 8,106 : x
  2. Step 2: Convert to fraction form
    14,730/20,327.44 = 8,106/x
  3. Step 3: Cross multiply
    14,730x = 20,327.44 × 8,106
  4. Step 4: Simplify right side
    14,730x = 164,774,228.64
  5. Step 5: Solve for x
    x = 164,774,228.64/14,730
  6. Step 6: Final answer
    x = 11,186.30

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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.