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Finding the Fourth Proportional to 13,573.16, 20,345.54 and 5,680.20

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Solution

The fourth proportional to 13,573.16, 20,345.54 and 5,680.20 is: 8,514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.16 : 20,345.54 = 5,680.20 : x
  2. Step 2: Convert to fraction form
    13,573.16/20,345.54 = 5,680.20/x
  3. Step 3: Cross multiply
    13,573.16x = 20,345.54 × 5,680.20
  4. Step 4: Simplify right side
    13,573.16x = 115,566,730.97
  5. Step 5: Solve for x
    x = 115,566,730.97/13,573.16
  6. Step 6: Final answer
    x = 8,514.35

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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.