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Finding the Fourth Proportional to 13,250.25, 19,875.78 and 4,016.25

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Solution

The fourth proportional to 13,250.25, 19,875.78 and 4,016.25 is: 6,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,250.25 : 19,875.78 = 4,016.25 : x
  2. Step 2: Convert to fraction form
    13,250.25/19,875.78 = 4,016.25/x
  3. Step 3: Cross multiply
    13,250.25x = 19,875.78 × 4,016.25
  4. Step 4: Simplify right side
    13,250.25x = 79,826,101.43
  5. Step 5: Solve for x
    x = 79,826,101.43/13,250.25
  6. Step 6: Final answer
    x = 6,024.50

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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.