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Finding the Fourth Proportional to 13,235.40, 19,820.70 and 6,301.80

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Solution

The fourth proportional to 13,235.40, 19,820.70 and 6,301.80 is: 9,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,235.40 : 19,820.70 = 6,301.80 : x
  2. Step 2: Convert to fraction form
    13,235.40/19,820.70 = 6,301.80/x
  3. Step 3: Cross multiply
    13,235.40x = 19,820.70 × 6,301.80
  4. Step 4: Simplify right side
    13,235.40x = 124,906,087.26
  5. Step 5: Solve for x
    x = 124,906,087.26/13,235.40
  6. Step 6: Final answer
    x = 9,437.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.