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Finding the Fourth Proportional to 13,980.75, 20,975.18 and 4,746.75

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Solution

The fourth proportional to 13,980.75, 20,975.18 and 4,746.75 is: 7,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.75 : 20,975.18 = 4,746.75 : x
  2. Step 2: Convert to fraction form
    13,980.75/20,975.18 = 4,746.75/x
  3. Step 3: Cross multiply
    13,980.75x = 20,975.18 × 4,746.75
  4. Step 4: Simplify right side
    13,980.75x = 99,563,935.67
  5. Step 5: Solve for x
    x = 99,563,935.67/13,980.75
  6. Step 6: Final answer
    x = 7,121.50

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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.