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Finding the Fourth Proportional to 13,915.64, 19,203 and 7,627.61

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Solution

The fourth proportional to 13,915.64, 19,203 and 7,627.61 is: 10,525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.64 : 19,203 = 7,627.61 : x
  2. Step 2: Convert to fraction form
    13,915.64/19,203 = 7,627.61/x
  3. Step 3: Cross multiply
    13,915.64x = 19,203 × 7,627.61
  4. Step 4: Simplify right side
    13,915.64x = 146,472,994.83
  5. Step 5: Solve for x
    x = 146,472,994.83/13,915.64
  6. Step 6: Final answer
    x = 10,525.78

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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.