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Finding the Fourth Proportional to 14,594.58, 20,142.27 and 8,305.74

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Solution

The fourth proportional to 14,594.58, 20,142.27 and 8,305.74 is: 11,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.58 : 20,142.27 = 8,305.74 : x
  2. Step 2: Convert to fraction form
    14,594.58/20,142.27 = 8,305.74/x
  3. Step 3: Cross multiply
    14,594.58x = 20,142.27 × 8,305.74
  4. Step 4: Simplify right side
    14,594.58x = 167,296,457.63
  5. Step 5: Solve for x
    x = 167,296,457.63/14,594.58
  6. Step 6: Final answer
    x = 11,462.92

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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.