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Finding the Fourth Proportional to 13,883.70, 20,870.66 and 11,140.39

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Solution

The fourth proportional to 13,883.70, 20,870.66 and 11,140.39 is: 16,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.70 : 20,870.66 = 11,140.39 : x
  2. Step 2: Convert to fraction form
    13,883.70/20,870.66 = 11,140.39/x
  3. Step 3: Cross multiply
    13,883.70x = 20,870.66 × 11,140.39
  4. Step 4: Simplify right side
    13,883.70x = 232,507,228.50
  5. Step 5: Solve for x
    x = 232,507,228.50/13,883.70
  6. Step 6: Final answer
    x = 16,746.77

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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.