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Finding the Fourth Proportional to 13,193.40, 18,207.32 and 7,225.32

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Solution

The fourth proportional to 13,193.40, 18,207.32 and 7,225.32 is: 9,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.40 : 18,207.32 = 7,225.32 : x
  2. Step 2: Convert to fraction form
    13,193.40/18,207.32 = 7,225.32/x
  3. Step 3: Cross multiply
    13,193.40x = 18,207.32 × 7,225.32
  4. Step 4: Simplify right side
    13,193.40x = 131,553,713.34
  5. Step 5: Solve for x
    x = 131,553,713.34/13,193.40
  6. Step 6: Final answer
    x = 9,971.18

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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.