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Finding the Fourth Proportional to 13,192.32, 18,184.96 and 9,830

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Solution

The fourth proportional to 13,192.32, 18,184.96 and 9,830 is: 13,550.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192.32 : 18,184.96 = 9,830 : x
  2. Step 2: Convert to fraction form
    13,192.32/18,184.96 = 9,830/x
  3. Step 3: Cross multiply
    13,192.32x = 18,184.96 × 9,830
  4. Step 4: Simplify right side
    13,192.32x = 178,758,156.80
  5. Step 5: Solve for x
    x = 178,758,156.80/13,192.32
  6. Step 6: Final answer
    x = 13,550.17

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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.