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Finding the Fourth Proportional to 13,689.81, 20,538.36 and 4,330.06

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Solution

The fourth proportional to 13,689.81, 20,538.36 and 4,330.06 is: 6,496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.81 : 20,538.36 = 4,330.06 : x
  2. Step 2: Convert to fraction form
    13,689.81/20,538.36 = 4,330.06/x
  3. Step 3: Cross multiply
    13,689.81x = 20,538.36 × 4,330.06
  4. Step 4: Simplify right side
    13,689.81x = 88,932,279.76
  5. Step 5: Solve for x
    x = 88,932,279.76/13,689.81
  6. Step 6: Final answer
    x = 6,496.24

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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.