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Finding the Fourth Proportional to 13,702.08, 20,560.80 and 6,776.64

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Solution

The fourth proportional to 13,702.08, 20,560.80 and 6,776.64 is: 10,168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.08 : 20,560.80 = 6,776.64 : x
  2. Step 2: Convert to fraction form
    13,702.08/20,560.80 = 6,776.64/x
  3. Step 3: Cross multiply
    13,702.08x = 20,560.80 × 6,776.64
  4. Step 4: Simplify right side
    13,702.08x = 139,333,139.71
  5. Step 5: Solve for x
    x = 139,333,139.71/13,702.08
  6. Step 6: Final answer
    x = 10,168.76

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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.