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Finding the Fourth Proportional to 13,915.17, 19,202.90 and 7,627.50

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Solution

The fourth proportional to 13,915.17, 19,202.90 and 7,627.50 is: 10,525.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.17 : 19,202.90 = 7,627.50 : x
  2. Step 2: Convert to fraction form
    13,915.17/19,202.90 = 7,627.50/x
  3. Step 3: Cross multiply
    13,915.17x = 19,202.90 × 7,627.50
  4. Step 4: Simplify right side
    13,915.17x = 146,470,081.61
  5. Step 5: Solve for x
    x = 146,470,081.61/13,915.17
  6. Step 6: Final answer
    x = 10,525.93

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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.