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Finding the Fourth Proportional to 14,021.64, 19,349.88 and 7,734

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Solution

The fourth proportional to 14,021.64, 19,349.88 and 7,734 is: 10,672.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,021.64 : 19,349.88 = 7,734 : x
  2. Step 2: Convert to fraction form
    14,021.64/19,349.88 = 7,734/x
  3. Step 3: Cross multiply
    14,021.64x = 19,349.88 × 7,734
  4. Step 4: Simplify right side
    14,021.64x = 149,651,971.92
  5. Step 5: Solve for x
    x = 149,651,971.92/14,021.64
  6. Step 6: Final answer
    x = 10,672.93

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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.