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Finding the Fourth Proportional to 13,284.90, 19,928.07 and 4,967.10

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Solution

The fourth proportional to 13,284.90, 19,928.07 and 4,967.10 is: 7,450.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284.90 : 19,928.07 = 4,967.10 : x
  2. Step 2: Convert to fraction form
    13,284.90/19,928.07 = 4,967.10/x
  3. Step 3: Cross multiply
    13,284.90x = 19,928.07 × 4,967.10
  4. Step 4: Simplify right side
    13,284.90x = 98,984,716.50
  5. Step 5: Solve for x
    x = 98,984,716.50/13,284.90
  6. Step 6: Final answer
    x = 7,450.92

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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.