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Finding the Fourth Proportional to 13,123.14, 19,671.03 and 5,725.62

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Solution

The fourth proportional to 13,123.14, 19,671.03 and 5,725.62 is: 8,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.14 : 19,671.03 = 5,725.62 : x
  2. Step 2: Convert to fraction form
    13,123.14/19,671.03 = 5,725.62/x
  3. Step 3: Cross multiply
    13,123.14x = 19,671.03 × 5,725.62
  4. Step 4: Simplify right side
    13,123.14x = 112,628,842.79
  5. Step 5: Solve for x
    x = 112,628,842.79/13,123.14
  6. Step 6: Final answer
    x = 8,582.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.