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Finding the Fourth Proportional to 13,196.80, 19,795.20 and 12,548.80

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Solution

The fourth proportional to 13,196.80, 19,795.20 and 12,548.80 is: 18,823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.80 : 19,795.20 = 12,548.80 : x
  2. Step 2: Convert to fraction form
    13,196.80/19,795.20 = 12,548.80/x
  3. Step 3: Cross multiply
    13,196.80x = 19,795.20 × 12,548.80
  4. Step 4: Simplify right side
    13,196.80x = 248,406,005.76
  5. Step 5: Solve for x
    x = 248,406,005.76/13,196.80
  6. Step 6: Final answer
    x = 18,823.20

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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.