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Finding the Fourth Proportional to 13,690.19, 20,538.95 and 4,330.40

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Solution

The fourth proportional to 13,690.19, 20,538.95 and 4,330.40 is: 6,496.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.19 : 20,538.95 = 4,330.40 : x
  2. Step 2: Convert to fraction form
    13,690.19/20,538.95 = 4,330.40/x
  3. Step 3: Cross multiply
    13,690.19x = 20,538.95 × 4,330.40
  4. Step 4: Simplify right side
    13,690.19x = 88,941,744.73
  5. Step 5: Solve for x
    x = 88,941,744.73/13,690.19
  6. Step 6: Final answer
    x = 6,496.75

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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.