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Finding the Fourth Proportional to 13,915.24, 19,203.30 and 7,627.24

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Solution

The fourth proportional to 13,915.24, 19,203.30 and 7,627.24 is: 10,525.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.24 : 19,203.30 = 7,627.24 : x
  2. Step 2: Convert to fraction form
    13,915.24/19,203.30 = 7,627.24/x
  3. Step 3: Cross multiply
    13,915.24x = 19,203.30 × 7,627.24
  4. Step 4: Simplify right side
    13,915.24x = 146,468,177.89
  5. Step 5: Solve for x
    x = 146,468,177.89/13,915.24
  6. Step 6: Final answer
    x = 10,525.74

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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.