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Finding the Fourth Proportional to 14,497.60, 21,778.80 and 13,907.20

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Solution

The fourth proportional to 14,497.60, 21,778.80 and 13,907.20 is: 20,891.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.60 : 21,778.80 = 13,907.20 : x
  2. Step 2: Convert to fraction form
    14,497.60/21,778.80 = 13,907.20/x
  3. Step 3: Cross multiply
    14,497.60x = 21,778.80 × 13,907.20
  4. Step 4: Simplify right side
    14,497.60x = 302,882,127.36
  5. Step 5: Solve for x
    x = 302,882,127.36/14,497.60
  6. Step 6: Final answer
    x = 20,891.88

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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.