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Finding the Fourth Proportional to 13,521.69, 20,291.04 and 5,730.48

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Solution

The fourth proportional to 13,521.69, 20,291.04 and 5,730.48 is: 8,599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,521.69 : 20,291.04 = 5,730.48 : x
  2. Step 2: Convert to fraction form
    13,521.69/20,291.04 = 5,730.48/x
  3. Step 3: Cross multiply
    13,521.69x = 20,291.04 × 5,730.48
  4. Step 4: Simplify right side
    13,521.69x = 116,277,398.90
  5. Step 5: Solve for x
    x = 116,277,398.90/13,521.69
  6. Step 6: Final answer
    x = 8,599.32

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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.