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Finding the Fourth Proportional to 13,492.38, 18,619.50 and 7,828.23

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Solution

The fourth proportional to 13,492.38, 18,619.50 and 7,828.23 is: 10,802.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.38 : 18,619.50 = 7,828.23 : x
  2. Step 2: Convert to fraction form
    13,492.38/18,619.50 = 7,828.23/x
  3. Step 3: Cross multiply
    13,492.38x = 18,619.50 × 7,828.23
  4. Step 4: Simplify right side
    13,492.38x = 145,757,728.49
  5. Step 5: Solve for x
    x = 145,757,728.49/13,492.38
  6. Step 6: Final answer
    x = 10,802.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.