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Finding the Fourth Proportional to 23,538.56, 32,479.44 and 13,465.28

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Solution

The fourth proportional to 23,538.56, 32,479.44 and 13,465.28 is: 18,579.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,538.56 : 32,479.44 = 13,465.28 : x
  2. Step 2: Convert to fraction form
    23,538.56/32,479.44 = 13,465.28/x
  3. Step 3: Cross multiply
    23,538.56x = 32,479.44 × 13,465.28
  4. Step 4: Simplify right side
    23,538.56x = 437,344,753.84
  5. Step 5: Solve for x
    x = 437,344,753.84/23,538.56
  6. Step 6: Final answer
    x = 18,579.93

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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.