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Finding the Fourth Proportional to 13,225.20, 19,837.80 and 13,030.80

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Solution

The fourth proportional to 13,225.20, 19,837.80 and 13,030.80 is: 19,546.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.20 : 19,837.80 = 13,030.80 : x
  2. Step 2: Convert to fraction form
    13,225.20/19,837.80 = 13,030.80/x
  3. Step 3: Cross multiply
    13,225.20x = 19,837.80 × 13,030.80
  4. Step 4: Simplify right side
    13,225.20x = 258,502,404.24
  5. Step 5: Solve for x
    x = 258,502,404.24/13,225.20
  6. Step 6: Final answer
    x = 19,546.20

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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.