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Finding the Fourth Proportional to 13,915.86, 19,203.74 and 7,628.20

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Solution

The fourth proportional to 13,915.86, 19,203.74 and 7,628.20 is: 10,526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.86 : 19,203.74 = 7,628.20 : x
  2. Step 2: Convert to fraction form
    13,915.86/19,203.74 = 7,628.20/x
  3. Step 3: Cross multiply
    13,915.86x = 19,203.74 × 7,628.20
  4. Step 4: Simplify right side
    13,915.86x = 146,489,969.47
  5. Step 5: Solve for x
    x = 146,489,969.47/13,915.86
  6. Step 6: Final answer
    x = 10,526.84

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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.