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Finding the Fourth Proportional to 14,566.68, 20,097.36 and 8,277.84

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Solution

The fourth proportional to 14,566.68, 20,097.36 and 8,277.84 is: 11,420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,566.68 : 20,097.36 = 8,277.84 : x
  2. Step 2: Convert to fraction form
    14,566.68/20,097.36 = 8,277.84/x
  3. Step 3: Cross multiply
    14,566.68x = 20,097.36 × 8,277.84
  4. Step 4: Simplify right side
    14,566.68x = 166,362,730.50
  5. Step 5: Solve for x
    x = 166,362,730.50/14,566.68
  6. Step 6: Final answer
    x = 11,420.77

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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.