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Finding the Fourth Proportional to 14,001.28, 19,321.52 and 7,713.60

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Solution

The fourth proportional to 14,001.28, 19,321.52 and 7,713.60 is: 10,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,001.28 : 19,321.52 = 7,713.60 : x
  2. Step 2: Convert to fraction form
    14,001.28/19,321.52 = 7,713.60/x
  3. Step 3: Cross multiply
    14,001.28x = 19,321.52 × 7,713.60
  4. Step 4: Simplify right side
    14,001.28x = 149,038,476.67
  5. Step 5: Solve for x
    x = 149,038,476.67/14,001.28
  6. Step 6: Final answer
    x = 10,644.63

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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.