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Finding the Fourth Proportional to 14,730.46, 20,327.54 and 8,357.64

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Solution

The fourth proportional to 14,730.46, 20,327.54 and 8,357.64 is: 11,533.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,730.46 : 20,327.54 = 8,357.64 : x
  2. Step 2: Convert to fraction form
    14,730.46/20,327.54 = 8,357.64/x
  3. Step 3: Cross multiply
    14,730.46x = 20,327.54 × 8,357.64
  4. Step 4: Simplify right side
    14,730.46x = 169,890,261.41
  5. Step 5: Solve for x
    x = 169,890,261.41/14,730.46
  6. Step 6: Final answer
    x = 11,533.26

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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.