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Finding the Fourth Proportional to 13,205.48, 18,223.70 and 7,237.02

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Solution

The fourth proportional to 13,205.48, 18,223.70 and 7,237.02 is: 9,987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.48 : 18,223.70 = 7,237.02 : x
  2. Step 2: Convert to fraction form
    13,205.48/18,223.70 = 7,237.02/x
  3. Step 3: Cross multiply
    13,205.48x = 18,223.70 × 7,237.02
  4. Step 4: Simplify right side
    13,205.48x = 131,885,313.04
  5. Step 5: Solve for x
    x = 131,885,313.04/13,205.48
  6. Step 6: Final answer
    x = 9,987.17

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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.