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Finding the Fourth Proportional to 14,838.12, 20,475.72 and 8,123.76

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Solution

The fourth proportional to 14,838.12, 20,475.72 and 8,123.76 is: 11,210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.12 : 20,475.72 = 8,123.76 : x
  2. Step 2: Convert to fraction form
    14,838.12/20,475.72 = 8,123.76/x
  3. Step 3: Cross multiply
    14,838.12x = 20,475.72 × 8,123.76
  4. Step 4: Simplify right side
    14,838.12x = 166,339,835.11
  5. Step 5: Solve for x
    x = 166,339,835.11/14,838.12
  6. Step 6: Final answer
    x = 11,210.30

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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.