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Finding the Fourth Proportional to 14,216.14, 21,296.49 and 8,655.69

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Solution

The fourth proportional to 14,216.14, 21,296.49 and 8,655.69 is: 12,966.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216.14 : 21,296.49 = 8,655.69 : x
  2. Step 2: Convert to fraction form
    14,216.14/21,296.49 = 8,655.69/x
  3. Step 3: Cross multiply
    14,216.14x = 21,296.49 × 8,655.69
  4. Step 4: Simplify right side
    14,216.14x = 184,335,815.53
  5. Step 5: Solve for x
    x = 184,335,815.53/14,216.14
  6. Step 6: Final answer
    x = 12,966.66

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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.