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Finding the Fourth Proportional to 13,259.40, 18,297.09 and 7,291.32

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Solution

The fourth proportional to 13,259.40, 18,297.09 and 7,291.32 is: 10,061.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,259.40 : 18,297.09 = 7,291.32 : x
  2. Step 2: Convert to fraction form
    13,259.40/18,297.09 = 7,291.32/x
  3. Step 3: Cross multiply
    13,259.40x = 18,297.09 × 7,291.32
  4. Step 4: Simplify right side
    13,259.40x = 133,409,938.26
  5. Step 5: Solve for x
    x = 133,409,938.26/13,259.40
  6. Step 6: Final answer
    x = 10,061.54

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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.