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Finding the Fourth Proportional to 14,145.92, 19,522.85 and 7,858.29

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Solution

The fourth proportional to 14,145.92, 19,522.85 and 7,858.29 is: 10,845.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145.92 : 19,522.85 = 7,858.29 : x
  2. Step 2: Convert to fraction form
    14,145.92/19,522.85 = 7,858.29/x
  3. Step 3: Cross multiply
    14,145.92x = 19,522.85 × 7,858.29
  4. Step 4: Simplify right side
    14,145.92x = 153,416,177.64
  5. Step 5: Solve for x
    x = 153,416,177.64/14,145.92
  6. Step 6: Final answer
    x = 10,845.26

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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.