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Finding the Fourth Proportional to 14,833.53, 20,472.30 and 8,374.50

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Solution

The fourth proportional to 14,833.53, 20,472.30 and 8,374.50 is: 11,557.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,833.53 : 20,472.30 = 8,374.50 : x
  2. Step 2: Convert to fraction form
    14,833.53/20,472.30 = 8,374.50/x
  3. Step 3: Cross multiply
    14,833.53x = 20,472.30 × 8,374.50
  4. Step 4: Simplify right side
    14,833.53x = 171,445,276.35
  5. Step 5: Solve for x
    x = 171,445,276.35/14,833.53
  6. Step 6: Final answer
    x = 11,557.96

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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.