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Finding the Fourth Proportional to 13,366.08, 20,019.96 and 6,426

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Solution

The fourth proportional to 13,366.08, 20,019.96 and 6,426 is: 9,624.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,366.08 : 20,019.96 = 6,426 : x
  2. Step 2: Convert to fraction form
    13,366.08/20,019.96 = 6,426/x
  3. Step 3: Cross multiply
    13,366.08x = 20,019.96 × 6,426
  4. Step 4: Simplify right side
    13,366.08x = 128,648,262.96
  5. Step 5: Solve for x
    x = 128,648,262.96/13,366.08
  6. Step 6: Final answer
    x = 9,624.98

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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.