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Finding the Fourth Proportional to 13,915.68, 19,204.04 and 7,628.64

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Solution

The fourth proportional to 13,915.68, 19,204.04 and 7,628.64 is: 10,527.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.68 : 19,204.04 = 7,628.64 : x
  2. Step 2: Convert to fraction form
    13,915.68/19,204.04 = 7,628.64/x
  3. Step 3: Cross multiply
    13,915.68x = 19,204.04 × 7,628.64
  4. Step 4: Simplify right side
    13,915.68x = 146,500,707.71
  5. Step 5: Solve for x
    x = 146,500,707.71/13,915.68
  6. Step 6: Final answer
    x = 10,527.74

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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.