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Finding the Fourth Proportional to 13,686.35, 20,478.25 and 9,746.71

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Solution

The fourth proportional to 13,686.35, 20,478.25 and 9,746.71 is: 14,583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.35 : 20,478.25 = 9,746.71 : x
  2. Step 2: Convert to fraction form
    13,686.35/20,478.25 = 9,746.71/x
  3. Step 3: Cross multiply
    13,686.35x = 20,478.25 × 9,746.71
  4. Step 4: Simplify right side
    13,686.35x = 199,595,525.05
  5. Step 5: Solve for x
    x = 199,595,525.05/13,686.35
  6. Step 6: Final answer
    x = 14,583.55

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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.