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Finding the Fourth Proportional to 14,497.45, 20,005.79 and 8,123.25

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Solution

The fourth proportional to 14,497.45, 20,005.79 and 8,123.25 is: 11,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.45 : 20,005.79 = 8,123.25 : x
  2. Step 2: Convert to fraction form
    14,497.45/20,005.79 = 8,123.25/x
  3. Step 3: Cross multiply
    14,497.45x = 20,005.79 × 8,123.25
  4. Step 4: Simplify right side
    14,497.45x = 162,512,068.02
  5. Step 5: Solve for x
    x = 162,512,068.02/14,497.45
  6. Step 6: Final answer
    x = 11,209.70

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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.