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Finding the Fourth Proportional to 13,915.76, 19,203.62 and 7,628.13

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Solution

The fourth proportional to 13,915.76, 19,203.62 and 7,628.13 is: 10,526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.76 : 19,203.62 = 7,628.13 : x
  2. Step 2: Convert to fraction form
    13,915.76/19,203.62 = 7,628.13/x
  3. Step 3: Cross multiply
    13,915.76x = 19,203.62 × 7,628.13
  4. Step 4: Simplify right side
    13,915.76x = 146,487,671.69
  5. Step 5: Solve for x
    x = 146,487,671.69/13,915.76
  6. Step 6: Final answer
    x = 10,526.75

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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.