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Finding the Fourth Proportional to 13,570.76, 20,355.17 and 4,210.54

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Solution

The fourth proportional to 13,570.76, 20,355.17 and 4,210.54 is: 6,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.76 : 20,355.17 = 4,210.54 : x
  2. Step 2: Convert to fraction form
    13,570.76/20,355.17 = 4,210.54/x
  3. Step 3: Cross multiply
    13,570.76x = 20,355.17 × 4,210.54
  4. Step 4: Simplify right side
    13,570.76x = 85,706,185.55
  5. Step 5: Solve for x
    x = 85,706,185.55/13,570.76
  6. Step 6: Final answer
    x = 6,315.50

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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.