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Finding the Fourth Proportional to 13,290, 18,341.04 and 7,321.68

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Solution

The fourth proportional to 13,290, 18,341.04 and 7,321.68 is: 10,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,290 : 18,341.04 = 7,321.68 : x
  2. Step 2: Convert to fraction form
    13,290/18,341.04 = 7,321.68/x
  3. Step 3: Cross multiply
    13,290x = 18,341.04 × 7,321.68
  4. Step 4: Simplify right side
    13,290x = 134,287,225.75
  5. Step 5: Solve for x
    x = 134,287,225.75/13,290
  6. Step 6: Final answer
    x = 10,104.38

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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.