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Finding the Fourth Proportional to 13,164.34, 18,164.69 and 7,499.20

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Solution

The fourth proportional to 13,164.34, 18,164.69 and 7,499.20 is: 10,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.34 : 18,164.69 = 7,499.20 : x
  2. Step 2: Convert to fraction form
    13,164.34/18,164.69 = 7,499.20/x
  3. Step 3: Cross multiply
    13,164.34x = 18,164.69 × 7,499.20
  4. Step 4: Simplify right side
    13,164.34x = 136,220,643.25
  5. Step 5: Solve for x
    x = 136,220,643.25/13,164.34
  6. Step 6: Final answer
    x = 10,347.70

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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.