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Finding the Fourth Proportional to 13,915.31, 19,203.17 and 7,627.69

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Solution

The fourth proportional to 13,915.31, 19,203.17 and 7,627.69 is: 10,526.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.31 : 19,203.17 = 7,627.69 : x
  2. Step 2: Convert to fraction form
    13,915.31/19,203.17 = 7,627.69/x
  3. Step 3: Cross multiply
    13,915.31x = 19,203.17 × 7,627.69
  4. Step 4: Simplify right side
    13,915.31x = 146,475,827.78
  5. Step 5: Solve for x
    x = 146,475,827.78/13,915.31
  6. Step 6: Final answer
    x = 10,526.24

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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.