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Finding the Fourth Proportional to 14,595.83, 20,141.98 and 8,222.40

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Solution

The fourth proportional to 14,595.83, 20,141.98 and 8,222.40 is: 11,346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,595.83 : 20,141.98 = 8,222.40 : x
  2. Step 2: Convert to fraction form
    14,595.83/20,141.98 = 8,222.40/x
  3. Step 3: Cross multiply
    14,595.83x = 20,141.98 × 8,222.40
  4. Step 4: Simplify right side
    14,595.83x = 165,615,416.35
  5. Step 5: Solve for x
    x = 165,615,416.35/14,595.83
  6. Step 6: Final answer
    x = 11,346.76

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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.