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Finding the Fourth Proportional to 13,830.95, 20,746.40 and 5,516.80

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Solution

The fourth proportional to 13,830.95, 20,746.40 and 5,516.80 is: 8,275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.95 : 20,746.40 = 5,516.80 : x
  2. Step 2: Convert to fraction form
    13,830.95/20,746.40 = 5,516.80/x
  3. Step 3: Cross multiply
    13,830.95x = 20,746.40 × 5,516.80
  4. Step 4: Simplify right side
    13,830.95x = 114,453,808.73
  5. Step 5: Solve for x
    x = 114,453,808.73/13,830.95
  6. Step 6: Final answer
    x = 8,275.20

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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.