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Finding the Fourth Proportional to 13,679.52, 20,538.72 and 13,053.12

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Solution

The fourth proportional to 13,679.52, 20,538.72 and 13,053.12 is: 19,598.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.52 : 20,538.72 = 13,053.12 : x
  2. Step 2: Convert to fraction form
    13,679.52/20,538.72 = 13,053.12/x
  3. Step 3: Cross multiply
    13,679.52x = 20,538.72 × 13,053.12
  4. Step 4: Simplify right side
    13,679.52x = 268,094,376.81
  5. Step 5: Solve for x
    x = 268,094,376.81/13,679.52
  6. Step 6: Final answer
    x = 19,598.23

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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.