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Finding the Fourth Proportional to 13,053.60, 19,545.84 and 6,884.64

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Solution

The fourth proportional to 13,053.60, 19,545.84 and 6,884.64 is: 10,308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053.60 : 19,545.84 = 6,884.64 : x
  2. Step 2: Convert to fraction form
    13,053.60/19,545.84 = 6,884.64/x
  3. Step 3: Cross multiply
    13,053.60x = 19,545.84 × 6,884.64
  4. Step 4: Simplify right side
    13,053.60x = 134,566,071.90
  5. Step 5: Solve for x
    x = 134,566,071.90/13,053.60
  6. Step 6: Final answer
    x = 10,308.73

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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.