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Finding the Fourth Proportional to 13,915.85, 19,203.76 and 7,628.21

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Solution

The fourth proportional to 13,915.85, 19,203.76 and 7,628.21 is: 10,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.85 : 19,203.76 = 7,628.21 : x
  2. Step 2: Convert to fraction form
    13,915.85/19,203.76 = 7,628.21/x
  3. Step 3: Cross multiply
    13,915.85x = 19,203.76 × 7,628.21
  4. Step 4: Simplify right side
    13,915.85x = 146,490,314.07
  5. Step 5: Solve for x
    x = 146,490,314.07/13,915.85
  6. Step 6: Final answer
    x = 10,526.87

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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.