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Finding the Fourth Proportional to 13,210.94, 18,230.63 and 7,242.49

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Solution

The fourth proportional to 13,210.94, 18,230.63 and 7,242.49 is: 9,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,210.94 : 18,230.63 = 7,242.49 : x
  2. Step 2: Convert to fraction form
    13,210.94/18,230.63 = 7,242.49/x
  3. Step 3: Cross multiply
    13,210.94x = 18,230.63 × 7,242.49
  4. Step 4: Simplify right side
    13,210.94x = 132,035,142.04
  5. Step 5: Solve for x
    x = 132,035,142.04/13,210.94
  6. Step 6: Final answer
    x = 9,994.38

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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.