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Finding the Fourth Proportional to 14,105.93, 21,160.31 and 5,223.64

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Solution

The fourth proportional to 14,105.93, 21,160.31 and 5,223.64 is: 7,835.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.93 : 21,160.31 = 5,223.64 : x
  2. Step 2: Convert to fraction form
    14,105.93/21,160.31 = 5,223.64/x
  3. Step 3: Cross multiply
    14,105.93x = 21,160.31 × 5,223.64
  4. Step 4: Simplify right side
    14,105.93x = 110,533,815.61
  5. Step 5: Solve for x
    x = 110,533,815.61/14,105.93
  6. Step 6: Final answer
    x = 7,835.98

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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.