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Finding the Fourth Proportional to 13,429.68, 18,538.64 and 9,064.96

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Solution

The fourth proportional to 13,429.68, 18,538.64 and 9,064.96 is: 12,513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.68 : 18,538.64 = 9,064.96 : x
  2. Step 2: Convert to fraction form
    13,429.68/18,538.64 = 9,064.96/x
  3. Step 3: Cross multiply
    13,429.68x = 18,538.64 × 9,064.96
  4. Step 4: Simplify right side
    13,429.68x = 168,051,978.46
  5. Step 5: Solve for x
    x = 168,051,978.46/13,429.68
  6. Step 6: Final answer
    x = 12,513.48

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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.