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Finding the Fourth Proportional to 14,071.20, 19,418.40 and 7,783.20

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Solution

The fourth proportional to 14,071.20, 19,418.40 and 7,783.20 is: 10,740.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071.20 : 19,418.40 = 7,783.20 : x
  2. Step 2: Convert to fraction form
    14,071.20/19,418.40 = 7,783.20/x
  3. Step 3: Cross multiply
    14,071.20x = 19,418.40 × 7,783.20
  4. Step 4: Simplify right side
    14,071.20x = 151,137,290.88
  5. Step 5: Solve for x
    x = 151,137,290.88/14,071.20
  6. Step 6: Final answer
    x = 10,740.90

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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.