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Finding the Fourth Proportional to 16,507.39, 22,784.87 and 13,530.33

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Solution

The fourth proportional to 16,507.39, 22,784.87 and 13,530.33 is: 18,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.39 : 22,784.87 = 13,530.33 : x
  2. Step 2: Convert to fraction form
    16,507.39/22,784.87 = 13,530.33/x
  3. Step 3: Cross multiply
    16,507.39x = 22,784.87 × 13,530.33
  4. Step 4: Simplify right side
    16,507.39x = 308,286,742.46
  5. Step 5: Solve for x
    x = 308,286,742.46/16,507.39
  6. Step 6: Final answer
    x = 18,675.68

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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.