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Finding the Fourth Proportional to 13,012.80, 19,519.20 and 9,902.40

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Solution

The fourth proportional to 13,012.80, 19,519.20 and 9,902.40 is: 14,853.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.80 : 19,519.20 = 9,902.40 : x
  2. Step 2: Convert to fraction form
    13,012.80/19,519.20 = 9,902.40/x
  3. Step 3: Cross multiply
    13,012.80x = 19,519.20 × 9,902.40
  4. Step 4: Simplify right side
    13,012.80x = 193,286,926.08
  5. Step 5: Solve for x
    x = 193,286,926.08/13,012.80
  6. Step 6: Final answer
    x = 14,853.60

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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.