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Finding the Fourth Proportional to 13,569.30, 20,354.94 and 4,208.13

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Solution

The fourth proportional to 13,569.30, 20,354.94 and 4,208.13 is: 6,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,569.30 : 20,354.94 = 4,208.13 : x
  2. Step 2: Convert to fraction form
    13,569.30/20,354.94 = 4,208.13/x
  3. Step 3: Cross multiply
    13,569.30x = 20,354.94 × 4,208.13
  4. Step 4: Simplify right side
    13,569.30x = 85,656,233.66
  5. Step 5: Solve for x
    x = 85,656,233.66/13,569.30
  6. Step 6: Final answer
    x = 6,312.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.